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Chapter 12: Q18. (page 689)

Find m∠1.

Short Answer

Expert verified

The measure of the angle is 56°.

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 straight angle, the angles are called supplementary angles and the sum of their measures is 180°.

03

Step 3. Calculation.

Write the sum of the measures of the angles as being equal to 180°.

m∠1+124°=180°m∠1=180°−124°=56°

04

Step 4. Conclusion.

The measure of the angle that forms a straight angle when placed adjacent to an angle measuring 124° is 56°.

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Most popular questions from this chapter

Find the measures of the numbered angles in the diagram.

∠1 and ∠2 aresupplementary angles, and m∠1=118°. Find m∠2.

In Exercises 32 and 33, use the diagram.

What is m∠6?

  1. 30° B. 60° C. 90° D. 120°

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

∠4and∠8

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

m∠3=98°m∠4=82°
See all solutions

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