Question

I really need help with number 10 find the value of x that makes abcd a parallelogram.

Answer 1

Answer

x = 168 degrees

Explanations:

The given diagram is a parallelogram. The measure of the opposite angles are equal. Hence;

$\begin{gathered} \angle A=\angle C \\ \end{gathered}$

Given the following parameters

$\begin{gathered} \angle A=112^0 \\ \angle C=\frac{2}{3}x^0 \end{gathered}$

Equate

$\begin{gathered} \frac{2}{3}x=112 \\ \frac{1}{3}x=56 \\ x=3\times56 \\ x=168^0 \end{gathered}$

Hence the value of x is 168 degrees