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°