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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?

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?
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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?

asked
User Khiav Reoy
by
7.7k points

1 Answer

3 votes
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°
answered
User Chris Conley
by
8.7k points
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