Triangle G E F is shown with its exterior angles. Line G F extends through point B. Line F E extends through point A. Line E G e
1 answer:
The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle GEF is shown with its exterior angles.
Line GF extends through point B.
Line FE extends through point A.
Line EG extends through point C.
Angles ∠FEG and ∠EGF are congruent.
∠FEG = ∠EGF = x
Sides EF and GF are congruent.
Angle ∠EFG is 50° degrees.
∠EFG + ∠FGE + ∠GEF = 180°
50° + x + x = 180°
2x = 130°
x = 65°
∠FEG = ∠EGF = 65°
Then angle ∠CGF will be
∠CGF + ∠FGE = 180°
∠CGF + 65° = 180°
∠CGF = 115°
More about the triangle link is given below.
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Answer:
x = -8
Step-by-step explanation:
To find x, we need to isolate it. So first, let's subtract 2.6 from both sides to get rid of it on the side with x:
Now, divide both sides by 3.2 (because notice how we are multiplying it right now - so we need to undo that, and so we do the inverse operation of division):
Notice how we are left with 1x on the left which is x, so we have successfully isolated x:
So, x = -8. Hope it makes sense, ask me any questions you may have! :)