Chapter 12.4, Problem 14Q

To determine

To Find: The value of $xandy.$

Answer to Problem 14Q

  $x=5,y=20$

Explanation of Solution

Given:

  

Since the triangles are equilateral triangle.

Thus the measure of the interior angles are ${60}^{°}$

  $\begin{array}{l}6y+{60}^{°}={180}^{°}(linearpair)\\ 6y=120\\ y=20\end{array}$

Now

In an equilateral triangle all sides are of equal measure.

Therefore

  $\begin{array}{l}5x-1=24\\ 5x=25\\ x=5\end{array}$

Hence, $x=5,y=20$