Question

The measures of two angles are (4x + 36) and (8x + 12). What is the value of x if these angles are congruent?

Answer 1

To find the value of x that makes the two angles congruent, set the expressions equal to each other and solve for x, resulting in x being 6.

Step-by-step explanation:

To determine the value of x when the two angles are congruent, we set the expressions for the angles equal to each other because congruent means they have the same measure. The equation will be (4x + 36) = (8x + 12). To solve for x, follow these steps:

1. Subtract 4x from both sides of the equation to get: 36 = 4x + 12.
2. Then subtract 12 from both sides to isolate the term with x on one side: 24 = 4x.
3. Finally, divide both sides by 4 to find the value of x: x = 6.