Question

The measures of the angles of a triangle are shown in the figure below.
Solve for x.

Answer 1

12

Explanation:

Angles in a triangle add up to 180 degrees

so

we have the angles as (58 degrees) , (8x-18)degrees and (4x-4)degrees

lets form an equations

so

58+(8x-18)+(4x-4)=180

arrange these

we have

58-18-4+8x+4x=180

36+12x=180

(take36 to the right)

12x=180-36

12x=144

divide by 12 both sides

we get 12 as x