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

The sum of the angles of a triangle is equal to 180 degrees.
We then have the following equation:
G + H + I = 180
Substituting values:
(2x + 5) + (6x - 10) + (x + 5) = 180
Clearing x we have:
(2x + 6x + x) + (5-10 + 5) = 180
9x + 0 = 180
9x = 180
x = 180/9
x = 20
Then, for the angle H we have:
H = (6x - 10) °
Substituting:
H = (6 (20) - 10) °
H = (120 - 10) °
H = 110 °
Answer:
the current measurement of angle H is:
H = 110 °