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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B.
Step-by-step explanation:
In such type of questions, all that you are supposed to do is, use basic mathematics to eliminate any one of the given two variables.
Check out the equations if in case you can multiply any of the given ones with a -1 and add the two equations,eliminating one of the variables.
Replace a and b in the equation with their values given:
-0.5(7(-6)-12(-10)-(8.4(-10)-14(-6))
Multiply within the parentheses
-0.5(-42 + 120) -(-84 + 84)
Add inside the parenthesis:
-0.5(78)-0
Multiply:
-.05 x 78 = -39
The answer is -39
Answer:
x = 100
Step-by-step explanation: