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Chapter 12: Q28. (page 690)

Find the value of xin the figure. Then find the unknown angle measures.

Short Answer

Expert verified

The value of x is 15°.

Step by step solution

01

Step 1. Given Information.

The figure is given below.

02

Step 2. Calculation.

Since, sum of the angles forming a linear pair is 180°. Therefore,

5x+∘7x=∘180° …… (1)

Find x using equation (1).

5x°+7x°=180°12x°=180°x=180°12°x=15°

Thus, the value of x is 15°.

03

Step 3. Conclusion.

The measures of unknown angles are 75° and 105°.

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Most popular questions from this chapter

Solve the equation by first clearing the fractions.

-112=12x-49

In example 2, if you know only m∠6,can you find the measures of the other numbered angles? Explain.

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

m∠3=146°m∠4=44°

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

Find the measures of the numbered angles in the diagram.
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