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Q.6

Expert-verifiedFound in: Page 544

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

The figure is shown below.

**The angle sum property of quadrilateral,**

**$a1+a2+a3+a4=360\xb0$**

Substitute the values of angles.

$\begin{array}{c}137\xb0+97\xb0+\left(2y-3\right)+y=360\xb0\\ 137\xb0+97\xb0+2y-3+y=360\xb0\\ 231\xb0+3y=360\xb0\end{array}$

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

$\begin{array}{l}3y=360\xb0-231\xb0\\ 3y=129\xb0\end{array}$

Cross-multiplying the values,

$\begin{array}{c}y=\frac{129\xb0}{3}\\ =43\xb0\end{array}$

The value of *y* is$43\xb0$.

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