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Chapter 12: Q2. (page 689)

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

Short Answer

Expert verified

The measures of two vertical angles are equal.

Step by step solution

01

Step 1. Given Information.

Two vertical angles.

02

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 ∠1,∠2,∠3, and ∠4. Among the four angles, ∠1 and ∠3 are vertical angles and their measures are equal. Similarly, ∠2 and ∠4are vertical angles and their measures are equal too.

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

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Most popular questions from this chapter

Use the given information to find m∠2.

∠1 and ∠2arevertical angles, and m∠1=140°.

Use the given information to find m∠2.

∠1 and ∠2 aresupplementary angles, and m∠1=137°.

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

∠2and∠7

In the diagram shown, m∠1=35°and m∠3=110°. What is m∠5?

  1. Tell how ∠1and ∠2 arerelated. Then find m∠2.
  2. Tell how ∠3and ∠4 arerelated. Then find m∠4.
  3. Use what you know about the sum of the measures of the angles of a triangle to find m∠5.

Find m∠1.
See all solutions

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