CCGPS Math 8 Mrs. Palmieri

It’s check time!!! Let’s see who has been studying…

A.) same-side interior angles B.) same-side exterior angles C.) alternate interior angles D.) alternate exterior angles 1)

A.) supplementary angles B.) complementary angles C.) vertical angles D.) corresponding angles 2)

A.) corresponding angles B.) vertical angles C.) adjacent angles D.) supplementary angles 3)

A.) alternate interior angle B.) alternate exterior angle C.) same-side interior angle D.) same-side exterior angle 4)

A.) same-side interior angles B.) same-side exterior angles C.) alternate interior angles D.) alternate exterior angles 5)

Let’s fish for more information…

Angles formed from parallel lines cut by a transversal are also related by their measurements. 50  These adjacent angles are also supplementary- meaning that they equal 180  when added together. If one angle is 50 , then the other angle would equal… 130  Here’s the best part!!! 130  50  All obtuse angles are congruent (equal) All acute angles are congruent (equal)

When parallel lines are cut by a transversal, ALL of the angles are either Congruent OR Supplementary same angle measure Equals 180 

Congruent vs. Supplementary Same side interior Same side exterior Alternate interior Alternate exterior CorrespondingAdjacent Vertical Linear pair

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

Congruent or Supplementary? A.) Congruent B.) Supplementary X X

We can use that information (congruent, supplementary, or even complementary) to solve for angle measures.

Find the measure of angle x. x 50 

Find the measure of angle x. x 43 

Find the measure of angle x. x 63 

Find the measure of angle x. x 35 

Find x AND the measure of the missing angle. (3x + 18) 93  (3x + 18) + 93 = 180 3x = = x = x = 23 Plug in 23 for “x” in 3x (23) + 18 = 87 The angle 3x + 18 is 87 

Find x AND the measure of the missing angle. 6x  40 + (6x + 2) = 90 6x + 42 = = -42 6x = 48 6 = 6 x = 8 Plug in 8 for “x” in 6x (8) + 2 = 50 The angle 6x + 2 is 50 

Find x AND the measure of the missing angle. (2 + 3x) 62  (2 + 3x) = = -2 3x = x = 20 The angle (2 + 3x) is 62  Plug in 20 for the variable “x” in (2 + 3x)

Awesome job!!!