Answer is angle 1 = 108 degrees
We know the sum of the interior angles equals 180 degrees.
Given 30 and 42 degrees, we can find the third using subtraction.
180 - 30 - 42 = 108 degrees.
Angle two can be found because we know a straight angle sum is 180 degrees. We know angle 1 is 108.
180 - 108 = 72 degrees for angle 2.
Angle 2 is also an opposite exterior angle and it’s angle will equal to the opposite interior angles 30 and 42, or 72.