MATH SOLVE

4 months ago

Q:
# What is m∠G ?Enter your answer in the box.°The figure shows what appears to be obtuse triangle F G H with obtuse angle G. The measure of angle F is left parentheses x minus 5 right parentheses degrees. The measure of angle G is left parentheses 3 times x plus 25 right parentheses degrees. The measure of angle H is x degrees.

Accepted Solution

A:

Sum of angles in a triangle = 180°, then:

∠H + ∠F + ∠G = 180°

(x°) + (x-5)° + (3x+25)° = 180°

Remove all parenthesis and computr

x+x-5+3x+25 = 180

5x + 20 = 180

5x=160

x = 32°, then ∠G = 3x+25 = 3(32)+25 = 121°

∠H + ∠F + ∠G = 180°

(x°) + (x-5)° + (3x+25)° = 180°

Remove all parenthesis and computr

x+x-5+3x+25 = 180

5x + 20 = 180

5x=160

x = 32°, then ∠G = 3x+25 = 3(32)+25 = 121°