Question

use your understanding of triangles to answer the questions below.

1. in triangle efg, the measure of angle fge is 35°, and the measure of angle gef is 62.2°. what is the measure of angle efg?

a. 117.2°
b. 83.2°
c. 82.8°
d. 27.8°

1. triangle lmn is shown below. what is the measure of ∠l?

Explanation:

Step1: Recall triangle angle sum rule

The sum of angles in a triangle is $180^\circ$.

Step2: Calculate angle EFG (Question 8)

Let $\angle EFG = x$. Use $\angle FGE=35^\circ$, $\angle GEF=62.2^\circ$.
$x = 180^\circ - 35^\circ - 62.2^\circ$
$x = 82.8^\circ$

Step3: Calculate angle L (Question 9)

Let $\angle L = y$. Use $\angle M=52.7^\circ$, $\angle N=69.1^\circ$.
$y = 180^\circ - 52.7^\circ - 69.1^\circ$
$y = 58.2^\circ$

Answer:

1. C. $82.8^\circ$
2. $58.2^\circ$