2-4 Special Pairs of Angles Objectives -Supplementary Angles Complementary Angles -Vertical angles.

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Presentation transcript:

2-4 Special Pairs of Angles Objectives -Supplementary Angles Complementary Angles -Vertical angles

Complementary Angles Are two angles whose measures have the sum 90. Each angle is called the complement of the other. A C 30⁰ 60⁰

Supplementary Angles Are two angles whose measures have the sum 180. Each angle is called a supplement of the other.

Vertical Angles Are two angles such that the sides of one angle are opposite rays to the sides of the other angle. When two lines intersect, they form two pairs of vertical angles. Theorem: Any pair of vertical angles are congruent.

Vertical Angles When two lines intersect, 4 angles are made, angles that are opposite of one another are VERTICAL ANGLES

Theorem Vertical angles are congruent – Given: – Prove: 1. 1 and 2 are vertical angles 1 and 2 are vertical angles 1. Given 1 2 3

2x

1 2 2x + 5 x ANGLE 1 and ANGLE 2 are CONGRUENT FIND m<1

Angle 1 and angle 2 are supplementary. Find the m<1 and m<2, if m<1=2x+30 and m<2=3x+40.

Homework Pg , 13-24, 27