Question

What is m∠G ?

Answer 1

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°

Answer 2

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°