PLS HELP ON MATH QUIZ PT.2

Given:

In the given figure, .

To find:

The measure of angle 3.

Solution:

According to the exterior angle theorem of a triangle, the measure of exterior angle is equal to the sum of two opposite interior angles of a triangle.

Using exterior angle theorem of a triangle, we get

The value of x is 20. So, the measure of angle 3 is:

Therefore, the measure of angle 3 is 150 degrees.

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