Chapter 6, Problem 20SGR

To determine

The value of each variable in given parallelogram.

Answer to Problem 20SGR

  $\begin{array}{l}x=5\\ y=12\end{array}$

Explanation of Solution

Given:

The given figure is:

Calculation:

In a parallelogram, the sides opposite to each other are equal.

So,

  $\begin{array}{l}3x-6=x+4\\ 3x-x=4+6\\ 2x=10\\ x=5\end{array}$

In the given figure, the alternate angles are equal,

So;

  $\begin{array}{l}60°=5y°\\ y=12\end{array}$