Question

The measure of two angles is (2x + 12)⁰ and (5x − 9)⁰. What is the value of x if these angles are congruent?show your work please do not answer if you don't know the answer

Answer 1

To find the value of x when two angles are congruent, set the measures of the angles equal to each other and solve for x. The value of x is found to be 7.

Step-by-step explanation:

To find the value of x when two angles are congruent, we can set the measures of the angles equal to each other and solve for x. The measure of the first angle is (2x + 12) degrees and the measure of the second angle is (5x - 9) degrees. So we have the equation (2x + 12) = (5x - 9). We can solve this equation to find the value of x:

2x + 12 = 5x - 9

12 + 9 = 5x - 2x

21 = 3x

x = 7

Therefore, the value of x is 7.