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Chapter 12: Q17. (page 689)

Find m∠1.

Short Answer

Expert verified

The measure of the angle is 62°.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Concept used.

If two angles placed adjacent to each other form a right angle, the angles are called complementary angles and the sum of their measures is 90°.

03

Step 3. Calculation.

Write the sum of the measures of the angles as being equal to 90°.

m∠1+28°=90°m∠1=90°−28°=62°

04

Step 4. Conclusion.

The measure of the angle that forms a right angle when placed adjacent to an angle measuring 28° is 62°.

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Most popular questions from this chapter

Tell whether the angles are complementary, supplementary, or neither.

m∠5=95°m∠6=85°

Use the given information to find m∠2.

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

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

Which angles have the same measure as ∠1 in the diagram?

Use the given information to find m∠2.

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

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