Question

In the figure, mZ1 = (4x + 8)º, mZ2 = (2x +17)°, and
mZ3 = (7x + 7)º. What is mZ3?

Answer 1

133º

Explanation:

Given that,

The measure of angle 1 = (4x + 8)º

The measure of angle 2 = (2x +17)°

The measure of angle 3 = (7x + 7)º

We need to find the measure of angle 3. We know that, the sum of interior angle is equal to the exterior angle.

`\angle 1+\angle 2=\angle 3`

Put all the values,

(4x + 8)+(2x +17) = (7x + 7)

x = 18

Angle 3 = (7(18) + 7)º

= 133º

So, the measure of angle 3 is equal to 133º.