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Chapter 12: Q3. (page 699)

In Example 3, find m鈭�2,m鈭�3,m鈭�4, and m鈭�5.

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

=

02

Step 2. Formula used.

Exterior angle=180-鈭�Interior angle

03

Step 3. Calculation.

Subtract 134掳 from 180掳 to calculate m鈭�2.

m鈭�2=180掳鈭�134掳m鈭�2=46掳

Subtract 124掳 from 180掳 to calculate m鈭�3.

m鈭�3=180掳鈭�124掳m鈭�3=56掳

Subtract 89掳 from 180掳 to calculate m鈭�4.

m鈭�4=180掳鈭�89掳m鈭�4=91掳

Subtract 106掳 from 180掳 to calculate m鈭�5.

m鈭�5=180掳鈭�106掳m鈭�5=74掳

04

Step 4. Conclusion.

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

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Most popular questions from this chapter

In Exercises 32 and 33, use the diagram.

Which numbered angles have the same measure as 鈭�1? Explain your reasoning.

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

Use the diagram. For lines mand nto be parallel, what must the value of xbe?

  1. Tell whether the labelled angles are corresponding, alternate interior, or alternate exterior angles.
  2. Write an equation that relates the angles measures.
  3. Solve the equation for x.

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

m鈭�3=118掳m鈭�4=72掳

In Exercises 6 and 7, use the given information to find m鈭�2.

鈭�1 and 鈭�2 aresupplementary angles, and m鈭�1=160掳.
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