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Chapter 12: Q3. (page 699)

In Example 3, find m∠2,m∠3,m∠4, and m∠5.

Short Answer

Expert verified

The measures of the all angles are: m∠2=46°, m∠3=56°, m∠4=91° and m∠5=74°.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

=

02

Step 2. Formula used.

Exterior angle=180-∘Interior angle

03

Step 3. Calculation.

Subtract 134° from 180° to calculate m∠2.

m∠2=180°−134°m∠2=46°

Subtract 124° from 180° to calculate m∠3.

m∠3=180°−124°m∠3=56°

Subtract 89° from 180° to calculate m∠4.

m∠4=180°−89°m∠4=91°

Subtract 106° from 180° to calculate m∠5.

m∠5=180°−106°m∠5=74°

04

Step 4. Conclusion.

The measures of all the angles are m∠2=46°,m∠3=56°,m∠4=91° and m∠5=74°.

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Most popular questions from this chapter

In Exercises 29 and 30, tell whether a triangle exists for the given description. If so, classify the triangle by its angles. If not, explain why not.

Two of the angles are complementary.

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

∠2and∠7

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

m∠3=64°m∠4=116°

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°.

Solve the equation by first clearing the fractions.

710x-15=38
See all solutions

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