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Chapter 12: Q14. (page 689)

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

m∠1=71°m∠2=19°

Short Answer

Expert verified

The pair of angles are complementary to each other.

Step by step solution

01

Step 1. Given Information.

The choices are: complementary, supplementary, or neither

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.

Calculate the sum of the measures of the two angles.

m∠1+m∠2=71°+19°=90°

04

Step 4. Conclusion.

Since the sum of angles is 90°, the given two angles are a complementary angle pair.

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Most popular questions from this chapter

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

m∠3=108°m∠4=72°

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

m∠5=95°m∠6=85°

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.

Find the measure of an exterior angle of a regular pentagon.

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

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