Question

Find m/H.
126⁰
F G
m/H=
(6x - 1)
H
(5x +17)

Answer 1

59 degrees

Explanation:

180 - 126 = 54

6x-1 + 5x + 17 +54 =180

11x + 70 = 180

11x = 180 -70

11x = 110

x =10

Therefore

6(10) - 1 = 59 degrees

Answer 2

The value of angle H in the diagram given is 59°

Firstly, we obtain the value of G ;

G = 180 - 126 (sum of angles on a straight line)

G = 54°

G + (6x - 1) + (5x + 17) = 180 (sum of angles in a triangle)

54 + 11x + 16 = 180

11x = 110

x = 10

The value of angle H

• 6(10) - 1 = 59°