Question

What is the measure of Angle D F E?

not drawn to scale

38 degrees
52 degrees
118 degrees
142 degrees

Answer 1

38

Explanation:

Answer 2

Given:

Given that the measure of the exterior angle F is 142°

We need to determine the measure of ∠DFE

Measure of ∠DFE:

The ∠DFE and the exterior angle F are linear pairs.

Thus, the linear pair of angles add up to 180°

Hence, we have;

`\angle DFE+142^(\circ)=180^(\circ)`

Subtracting both sides of the equation by 142, we get;

`\angle DFE=38^(\circ)`

Hence, the measure of ∠DFE is 38°

Thus, Option a is the correct answer.