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1.3.d: Angle Relationships. Adjacent Angles. Angles with a common side and a common vertex Side by side. Complementary Angles. Angles whose measures add to be _______. Supplementary Angles. Angles whose measures add to be ______. Linear Pair. Adjacent supplementary angles Form a line.
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Adjacent Angles • Angles with a common side and a common vertex • Side by side
Complementary Angles • Angles whose measures add to be _______
Supplementary Angles • Angles whose measures add to be ______
Linear Pair • Adjacent supplementary angles • Form a line
Example 1 • Find x. Then find m<TCH and m<HCS. T x + 10 H x+ 4 C S
Vertical Angles • Angles opposite each other when two lines intersect.
Vertical Angles Theorem • Vertical Angles are Congruent!
Example 2 • Find the value of x. Then find the measures of all angles. C 4x R A 3x+ 35 S D
Example 3 Find the angle measures. • m<AOE • m<AOB • m<EOD • m<DOC • m<BOC • m<AOD • m<COE A B E O 60° D C