Question

Two angles have measures of (x + 14) and (3x – 15)°. What value of x will make the angles congruent?

a) x = 2
b) x = 9
c) x = 15
d) x = 19

Answer 1

To make the angles congruent, the measures of the angles must be equal. By setting up the equation (x + 14) = (3x - 15) and solving for x, we find that x = 14.5. However, none of the options given match this value.

Step-by-step explanation:

To make the angles congruent, the measures of the angles must be equal. So, we can set up the equation (x + 14) = (3x - 15) and solve for x.

x + 14 = 3x - 15

14 + 15 = 3x - x

29 = 2x

x = 14.5

Therefore, the value of x that will make the angles congruent is x = 14.5. However, none of the options listed match this value, so the correct answer is none of the above (c).