Question

1. The measures of two angles are (5x + 24) and (9x - 17)°. What is the value of xif theseangles are congruent?

Answer 1

If 2 angles are congruent, it means that they are equal, so:

5x+24 = 9x-17

Solve for x, combine like terms:

24+17 = 9x-5x

41 = 4 x

Divide both sides by 4:

41/4 = 4x/4

10.25 =x

x=10.25