2.4: Special Pairs of Angles

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Presentation transcript:

2.4: Special Pairs of Angles

Complementary Angles: 2 angles whose measures have the sum 90 degrees Supplementary Angles: 2 angles whose measures have the sum 180 degrees

Problem A supplement of an angle is 4 times as large as a complement of the angle. Find the measure of the angle

Problem A supplement of an angle is 4 times as large as a complement of the angle. Find the measure of the angle X = angle 180 – x = supplement 90 – x – complement 180 – x = 4(90 – x)

Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle

Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle Theorem 2-3: Vertical angles are congruent

Theorem 2-3: Vertical angles are congruent Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle Theorem 2-3: Vertical angles are congruent Try to prove from scratch given that two angles are vertical angles Start with making a diagram

Classwork Example 2 on page 51 Pg 52, Number 21

Homework Pg 52: 19-33 odd, 34