Question

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

Answer 1

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=(2)/(3)x^0 \end{gathered}`

Equate

`\begin{gathered} (2)/(3)x=112 \\ (1)/(3)x=56 \\ x=3*56 \\ x=168^0 \end{gathered}`

Hence the value of x is 168 degrees