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Chapter 12: Q26. (page 690)

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

Short Answer

Expert verified

The value of x is 6掳.

Step by step solution

01

Step 1. Given Information.

The figure is given below.

02

Step 2. Calculation.

Since, a right angle is an angle which is equal to 90掳. Therefore,

8x+鈭�42=鈭�90掳 鈥︹�� (1)

Find x using equation (1).

8x掳+42掳=90掳8x掳=90掳鈭�42掳8x掳=48掳x=48掳8掳

This implies that,

x=6掳

Thus, the value of x is 6掳.

03

Step 3. Conclusion.

The measures of unknown angles are 48and鈭�42掳.

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Use the diagram shown. Identify all pairs of the specified angles.

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