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Chapter 10: Q.19 (page 545)

Find the value of x.

Short Answer

Expert verified

The value of x is90°.

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:

∠A+∠B+∠D+∠C=360°

03

Step 3. Calculation.

According to angle sum properties of quadrilateral,

∠A+∠B+∠D+∠C=360°

Substituting the value of angles,

x°+x°+x°+x°=360°4x°=360°x°=360°4=90°

Angles are;

∠A=∠B=∠C=∠D=x°=90°

04

Step 3. Conclusion.

The value of x is90°.

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