Chapter SR22, Problem 15P

Solution

The two polygons are similar. Find the value of x.

  $x={40}^o$ .

Given:

The given polygon.

  

Concept Used:

• If two figures or objects are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Calculation:

The given polygon is −

  

As the two polygons are similar so their corresponding angles are congruent.

So ${124}^o={(3x+4)}^o$

  $\begin{array}{c}$ {124}^o={(3x+4)}^o$124=3x+4\\ 124-4=3x\\ 120=3x\\ 3x=120\\ x=\frac{120}{3}\\ x=40\end{array}$

  $x={40}^o$