Question

Triangle ghi has the angle measures of g = (2x + 5)°, h = (6x − 10)°, and i = (x + 5)°. what is the actual measurement of angle h?

Answer 1

Sum of all the angles in a triangle = 180°

(2x + 5) + (6x - 10) + (x + 5) = 180

2x + 5 + 6x - 10 + x + 5 = 180

Combine like terms:
9x  = 180

Divide by 9:
x = 20

Answer: x = 20°