Chapter 11, Problem 10STP

To determine

To Solve: For x.

Answer to Problem 10STP

X= $\frac{19}{4}$

Explanation of Solution

Given information:

Given a figure.

Calculation:

In the given figure, two triangles are congruent angles are equal.

Therefore, by corresponding parts of congruent triangles.

  $\begin{array}{l}\text{4x+12=12x-26}\\ \text{4x-12x=-26-12}\\ \text{-8x=-38}\\ \text{8x=38}\\ \text{x=}\frac{\text{38}}{\text{8}}\\ \text{=}\frac{\text{19}}{\text{4}}\end{array}$

Therefore, value of x= $\frac{19}{4}$