Question

The measures of two angles are represented by the expressions (5x + 24)° and (9x − 17)°. If the two angles are equal, what is the value of x?

Answer 1

x=10.25

Explanation:

Angle 1 = (5x+24)°

Angle 2 = (9x-17)°

The two angles are equal. It means,

(5x+24)°=(9x-17)°

Taking like terms together,

5x-9x=-17-24

-4x=-41°

Dividing each side by -4

x=10.25°

So, the value of x is 10.25.