Goal: Find the measures of angles formed by intersecting lines.

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Presentation transcript:

Goal: Find the measures of angles formed by intersecting lines. 2.4 Vertical Angles Goal: Find the measures of angles formed by intersecting lines.

Key Words Vertical angles Linear pair Two angles that are nonadjacent and their sides are formed by two intersecting lines. Linear pair Two adjacent angles whose non-common sides are on the same line.

Identify Vertical Angles and Linear Pairs 1. Determine whether the labeled angles are vertical angles, a linear pair or neither. Linear Pair Neither Vertical Angles

Postulate 7 Linear Pair Postulate If two angles form a linear pair, then they are supplementary. 1 2

Use the Linear Pair Postulate 2. Find the measure of

Theorem 2.3 Vertical Angles Theorem Vertical angles are congruent 2 3 1 4

Use the Vertical Angles Theorem 3. Find the measure of

Find Angle Measures 4. Find

Use Angles with Vertical Angles 5. Find the value of y

Homework 2.4 pg. 78 10-40 Even, 41-50, 52-56 Even