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Chapter 12: Q4. (page 688)

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

Short Answer

Expert verified

The measure of angle m∠2is 62°.

Step by step solution

01

Step 1. Given Information.

m∠1=118°

02

Step 2. Concept used.

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.

03

Step 3. Calculation.

Since ∠1 and ∠2 are supplementary angles.

m∠1+m∠2=180°118°+m∠2=180°m∠2=180°−118°=62°

04

Step 4. Conclusion.

The measure of the angle that is supplementary to an angle measuring 118° is 62°.

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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.

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

m∠1=22°m∠2=58°

Use the diagram shown. Identify all pairs of the specified angles.

Complementary angles

Extended Problem Solving: In the bicycle frame shown, ∠1is called the head angle, and ∠2 is called the seat angle. Lines mand nare parallel.

  1. Identify: Are ∠1 and ∠2 are corresponding, alternate interior, or alternate exterior angles.
  2. Explain: ∠1 and ∠2 have the same measure?
  3. Calculate: ∠1 and ∠2.Explain how you got your answer.

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

  1. At a certain time of the day, m∠1=148°, 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∠1=135°. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.
See all solutions

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