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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP-example-1

1 Answer

3 votes

Given:

In triangle
EFG, m\angle E = 5x, m\angle F=6x and extirior angle G is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get


m\angle E+m\angle F=\text{Measure of extirior angle }G


5x+6x=110^\circ


11x=110^\circ


x=(110^\circ)/(11)


x=10^\circ

Now,


m\angle FEG=5x


m\angle EFG=5(10^\circ)


m\angle EFG=50^\circ

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

User Johannes Wentu
by
8.2k points

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