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

In Example 3, suppose that m鈭�1=135掳. Find m鈭�2, m鈭�3, and m鈭�4.

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

鈭�2and鈭�6

The diagram shows the sculpture Clothespin casting a shadow. In the diagram, 鈭�2is the angle of the sun above the horizon.

  1. At a certain time of the day, m鈭�1=148掳, and the shadow has a length of 72 feet. Use a calculator to find the height of the sculpture. Round to the nearest tenth.
  2. At a certain time of the day, m鈭�1=135掳. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.

Solve the equation. Check your solution.

4x+7=-113

Find the measures of the numbered angles in the diagram.
See all solutions

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