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Q2.

Expert-verified
Found in: Page 689

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

What can you say about the measures of two vertical angles?

The measures of two vertical angles are equal.

See the step by step solution

Step 1. Given Information.

Two vertical angles.

Step 2. Explanation.

Vertical angles are angles that are formed opposite to each other when two lines intersect at a point.

In the above figure, the two lines intersect at a point to form four angles $\angle 1,\text{}\angle 2,\text{}\angle 3,$ and $\angle 4$. Among the four angles, $\angle 1$ and $\angle 3$ are vertical angles and their measures are equal. Similarly, $\angle 2$ and $\angle 4$ are vertical angles and their measures are equal too.

Therefore, it can be said that the measures of two vertical angles are equal.