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Chapter 10: Q.18 (page 545)

Find the value of x.

Short Answer

Expert verified

The value of x is76°.

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,

localid="1652665524771" (2x−17)°+90°+x°+59°=360°3x+90°+42°=360°3x+132°=360°3x=228

On further simplification,

localid="1652665537585" x=2283°=76°

Angles are;

localid="1652665555922" ∠C=x°=76°

And,

localid="1652665571638" ∠A=2x−17°=2×76°−17°=152°−17°=135°

04

Step 3. Conclusion.

The value of x is76°.

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