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Chapter 10: Q.6 (page 544)

Find the value of y.

Short Answer

Expert verified

Thevalue of y is43掳.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Formula used.

The angle sum property of quadrilateral,

a1+a2+a3+a4=360掳

03

Step 3. Calculation.

Substitute the values of angles.

137掳+97掳+2y鈭�3+y=360掳137掳+97掳+2y鈭�3+y=360掳231掳+3y=360掳

Shifting the right-hand side to left-hand side,

3y=360掳鈭�231掳3y=129掳

Cross-multiplying the values,

y=129掳3=43掳

04

Step 4. Conclusion.

Thevalue of y is43掳.

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The Allen-Bradley Clock Tower in Milwaukee, Wisconsin, has four faces. Each face is regular octagon. The perimeter of one octagonal face is approximately 133 feet.

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