Question

Find the value of the variable that results in congruent triangles

Answer 1

x = 8

Explanation:

Given that two triangles are congruent, then the measure of corresponding angles are equal.

So we can write the following equation to find the value of x:

8x - 1 = 5x + 23

• isolate x by transferring like terms to the same side.

8x - 5x = 23 + 1

• Add/subtract.

3x = 24

• Divide both sides by 3.

x = 8