Question

Find the value of x.angle bisector 18A. 15B. 45C. 6D. 30

Answer 1

Given

To find:

The value of x.

Explanation:

It is given that,

Since the adjacent angles in a Rhombus is Supplementary.

Then,

$\begin{gathered} \angle B+\angle C=180\degree \\ 90+[(3x-15)+(45-x)]=180 \\ 3x-15+45-x=180-90 \\ 2x+30=90 \\ 2x=90-30 \\ 2x=60 \\ x=\frac{60}{2} \\ x=30\degree \end{gathered}$

Hence, the value of x is 30°.