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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掳.

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掳. Therefore,

5x+鈭�7x=鈭�180掳 鈥︹�� (1)

Find x using equation (1).

5x掳+7x掳=180掳12x掳=180掳x=180掳12掳x=15掳

Thus, the value of x is 15掳.

03

Step 3. Conclusion.

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

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