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Chapter 10: Q.6 (page 544)

Find the value of y.

Short Answer

Expert verified

Thevalue of y is43°.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Formula used.

The angle sum property of quadrilateral,

a1+a2+a3+a4=360°

03

Step 3. Calculation.

Substitute the values of angles.

137°+97°+2y−3+y=360°137°+97°+2y−3+y=360°231°+3y=360°

Shifting the right-hand side to left-hand side,

3y=360°−231°3y=129°

Cross-multiplying the values,

y=129°3=43°

04

Step 4. Conclusion.

Thevalue of y is43°.

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