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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

In Example 3, suppose that m∠1=135°. Find m∠2, m∠3, and m∠4.

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

Find the value of x that makes lines m and n parallel.

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m∠1=95°and m∠3=45°. Tell whether the statement is true or false. Explain your reasoning.

  1. ∠2 and ∠3are corresponding angles.
  2. ∠2 and ∠3 have equal measures.
  3. ∠2 and ∠3are complementary angles.
  4. The sum of the measures of ∠1,∠2and ∠3is 180°.

Find the measures of the numbered angles in the diagram.

Given:m∠1=43°
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