Question

PLEASE HELP ME I WAS SICK AND I DONT UNDERSTAND.DUE IN 1 HOUR!!!!

Answer 1

11°

Explanation:

Here,

∠FGH=3x+19
∠GHF=70°

∠QFG=11x+1
Now,

11x+1+∠GFH=180[Sum of a straight line is 180°]
∴∠GFH=179-11x

Again,
∠GFH+∠GHF+∠FGH=180[Sum of all angles of a triangle is 180]

179-11x+70+3x+19=180

-11x+3x=180-179-70-19

-8x=-88

∴x=11°

Answer 2

x=11

Explanation:

The inside(interior) angles of a triangle must add up to 180 degrees. A line is 180 degrees, so the angle GFH (the measure of the acute angle at point F) would be 180-(11x+1)

Now we have information on all 3 angles of the triangle; they must sum up to 180, so add all of these equations together

180-(11x+1) = 179-11x

Add this to 3x+19 and 70 gives 268-8x=180

Solving this equation for x we get -8x=180-268

-8x=-88

x=11

Hoped this helped and I hope you feel better!