Answer:
Measure of angle H is 110°.
Step-by-step explanation:
m∠G = (2x + 5)°
m∠H = (6x - 10)°
m∠I = (x + 10)°
Since, sum of interior angles of a triangle is 180°.
m∠G + m∠H + m∠I = 180°
(2x + 5) + (6x - 10) + (x + 5) = 180
(2x + 6x + x) + (5 - 10 + 5) = 180
9x = 180
x = 20
Therefore, m∠H = (6x - 10)°
= 6(20) - 10
= 110°
Therefore, measure of angle H is 110°.
