Question

What is m∠G ?





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°
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.

Answer 1

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°

Answer 2

Answer:$\angle G$ = 121°

Explanation:

Since, we know that, the sum of all three angles of a triangle is 180°.

And, it is given in $\triangle ABC$, $\angle T$ = (x-5)°, $\angle H$= x°, $\angle G$= (3x+25)°

But, $\angle T+\angle H+\angle G$= 180°

So, (x-5)°+ x°+ (3x+25)°=180°

⇒5x+20°=180⇒5x=160⇒x=32°

So, $\angle G$= 3×32°+25°=121°