Complimentary & Supplementary Angles Angles in Geometry can be added and subtracted.

Complimentary & Supplementary Angles Angles in Geometry can be added and subtracted. For example, if I have a 40° angle and add it to a 10° angle I get a total of 50°.

Complimentary & Supplementary Angles Angles in Geometry can be added and subtracted. For example, if I have a 40° angle and add it to a 10° angle I get a total of 50°. EXAMPLE #1 : Add the two given angles 37° 25°

Complimentary & Supplementary Angles Angles in Geometry can be added and subtracted. For example, if I have a 40° angle and add it to a 10° angle I get a total of 50°. EXAMPLE #1 : Add the two given angles Solution : 37° + 25° = 62° 37° 25°

Complimentary & Supplementary Angles In the diagram, ∠𝐴𝐵𝐶=55°, and ∠𝐴𝐵𝐷=115°, find the measure of ∠𝐶𝐵𝐷. A C B D

Complimentary & Supplementary Angles In the diagram, ∠𝐴𝐵𝐶=55°, and ∠𝐴𝐵𝐷=115°, find the measure of ∠𝐶𝐵𝐷. SOLUTION : ∠𝐴𝐵𝐷=∠𝐴𝐵𝐶+∠𝐶𝐵𝐷 115°=55°+∠𝐶𝐵𝐷 A C 115° 55° ? B D

Complimentary & Supplementary Angles In the diagram, ∠𝐴𝐵𝐶=55°, and ∠𝐴𝐵𝐷=115°, find the measure of ∠𝐶𝐵𝐷. SOLUTION : ∠𝐴𝐵𝐷=∠𝐴𝐵𝐶+∠𝐶𝐵𝐷 115°=55°+∠𝐶𝐵𝐷 115° −55°=∠𝐶𝐵𝐷 A C 115° 55° ? B D

Complimentary & Supplementary Angles In the diagram, ∠𝐴𝐵𝐶=55°, and ∠𝐴𝐵𝐷=115°, find the measure of ∠𝐶𝐵𝐷. SOLUTION : ∠𝐴𝐵𝐷=∠𝐴𝐵𝐶+∠𝐶𝐵𝐷 115°=55°+∠𝐶𝐵𝐷 115° −55°=∠𝐶𝐵𝐷 ∠𝐶𝐵𝐷=60° A C 115° 55° 60° B D

Complimentary & Supplementary Angles Complimentary angles add up to 90°.

Complimentary & Supplementary Angles Complimentary angles add up to 90°. So given a 30° angle, its complimentary angle would be 60°. ( 90° −30°=60° )

Complimentary & Supplementary Angles Complimentary angles add up to 90°. So given a 30° angle, its complimentary angle would be 60°. ( 90° −30°=60° ) Supplementary angles add up to 180°.

Complimentary & Supplementary Angles Complimentary angles add up to 90°. So given a 30° angle, its complimentary angle would be 60°. ( 90° −30°=60° ) Supplementary angles add up to 180°. So given a 140° angle, its supplementary angle would be 40°. ( 180° −140°=40° )

Complimentary & Supplementary Angles Complimentary angles add up to 90°. So given a 30° angle, its complimentary angle would be 60°. ( 90° −30°=60° ) Supplementary angles add up to 180°. So given a 140° angle, its supplementary angle would be 40°. ( 180° −140°=40° ) ** An easy way to remember these is “c” comes before “s” in the alphabet and 90 comes before 180 on the number line…

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles.

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 56° 45° 27° 61°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 45° 27° 61°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 27° 61°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 61°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 78° 135° 18° 99°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 180°−119°=61° 78° 135° 18° 99°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 180°−119°=61° 78° 180°−78°=102° 135° 18° 99°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 180°−119°=61° 78° 180°−78°=102° 135° 180°−135°=45° 18° 99°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 180°−119°=61° 78° 180°−78°=102° 135° 180°−135°=45° 18° 180°−18°=162° 99°

Complimentary & Supplementary Angles Let’s set up a chart and practice calculating complimentary and supplementary angles. Calculate the complimentary angle for each given angle. Calculate the supplementary angle for each given angle. Given Angle Complimentary Angle 15° 90°−15°=75° 56° 90°−56°=34° 45° 90°−45°=45° 27° 90°−27°=63° 61° 90°−61°=29° Given Angle Supplementary Angle 119° 180°−119°=61° 78° 180°−78°=102° 135° 180°−135°=45° 18° 180°−18°=162° 99° 180°−99°=81°