Question

Find the measure of the exterior angle

Answer 1

80

Explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

30 + 4x + 2 = 8 + 6x add like terms

32 + 4x = 8 + 6x move like terms to the same side of the equation:

32 - 8 = 6x - 4x

24 = 2x divide both sides by 2

12 = x now to find the angle replace x with 12

8 + 6*12 = 80