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Chapter 12: Q1. (page 689)

Copy and complete: The sum of the measures of two? angles is 90°.

Short Answer

Expert verified

The sum of the measures of two complementary angles is90°.

Step by step solution

01

Step 1. Given Information.

The sum of the measures of two ? angles is 90°.

02

Step 2. Explanation.

If the sum of two angles is 90° then the angles are called complementary angles and if the sum is 180° then the angles are called supplementary angles.

In other words, it can also be stated that adjacent angles that form a right angle are complementary and adjacent angles that form a straight angle are supplementary.

Therefore, the sum of the measures of two complementary angles is 90°.

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Most popular questions from this chapter

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

∠1and∠5

Find the value of xin the figure. Then find the unknown angle measures.

As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of 15°from the vertical.

  1. In the diagram, ∠1 and the angle that measures 15° are complementary angles. Find m∠1.
  2. Tell whether ∠1and ∠2 arecomplementary or supplementary angles. Then use your answer to part (a) to find m∠2.

Four exterior angles of a convex pentagon have measures 14°, 87°, 56°, and 30°. Find the measure of the fifth exterior angle.

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

∠2and∠7
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