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Chapter 10: Q.19 (page 545)

Find the value of x.

Short Answer

Expert verified

The value of x is90掳.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Formula used.

The angle sum properties of quadrilateral is as follows:

鈭�A+鈭�B+鈭�D+鈭�C=360掳

03

Step 3. Calculation.

According to angle sum properties of quadrilateral,

鈭�A+鈭�B+鈭�D+鈭�C=360掳

Substituting the value of angles,

x掳+x掳+x掳+x掳=360掳4x掳=360掳x掳=360掳4=90掳

Angles are;

鈭�A=鈭�B=鈭�C=鈭�D=x掳=90掳

04

Step 3. Conclusion.

The value of x is90掳.

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