1 Answer

Johannes Wentu · Answer 1 · 2022-09-04T01:24:04+0000

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.

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