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Chapter 10: Q.18 (page 545)

Find the value of x.

Short Answer

Expert verified

The value of x is76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,

localid="1652665524771" (2x鈭�17)掳+90掳+x掳+59掳=360掳3x+90掳+42掳=360掳3x+132掳=360掳3x=228

On further simplification,

localid="1652665537585" x=2283掳=76掳

Angles are;

localid="1652665555922" 鈭�C=x掳=76掳

And,

localid="1652665571638" 鈭�A=2x鈭�17掳=2脳76掳鈭�17掳=152掳鈭�17掳=135掳

04

Step 3. Conclusion.

The value of x is76掳.

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