Question

Using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6?

A. 86°
B. There isn't enough information to determine.
C. 104°
D. 94°

Answer 1

the answer is D. 94°

Answer 2

Option D is correct

94° is the measure of angle 6

Explanation:

Exterior angle theorem states the sum of the measures of the two non-adjacent interior angles of the triangle.

As per the statement:

if the measure of angle 2 is 42° and the measure of angle 3 is 52°.

`\angle 2 = 42^(\circ)`

`\angle 3= 52^(\circ)`

By definition of exterior angle we have;

`\angle 6 = \angle 2 + \angel 3`

Substitute the given values we have;

`\angle 6 = 42^(\circ)+52^(\circ)`

Simplify:

`\angle 6 = 94^(\circ)`

Therefore, the measure of angle 6 is, 94 degree.