Question

Help me pls

Find angle fgh

Answer 1

Answer:

116

Step-by-step explanation:

Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:

$2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19$

Found x, we can find the measure of the larger angle which is $(2\times 19 + 20 )\times 2 = 58 \times 2 = 116$

Answer 2

Answer:

Angle fgh=116

Step-by-step explanation:

Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:

(2x+20)=(5x-37)

Now we set the equations equal to each other to solve for x

-3x=-57

Divide the -3 by both sides

x=19

Now we have to plug the x into the equations

2(19)+20 and 5(19)-37

Our answer is 58 for both equations

Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.

SO our final answer is 116

(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)