Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Answer:
56°
Step-by-step explanation:
The exterior angle property states that the exterior angle is equal to the sum of the internal angles not adjacent to it.
Given :
∠E = (5x + 4)°
∠F = 76°
∠FGM = (10x + 12)°
Solving :
∠E + ∠F = ∠FGM
5x - 4 + 76 = 10x + 12
10x - 5x = 72 - 12
5x = 60
x = 12
Substitute x in ∠E :
5(12) - 4
60 - 4
56°
