Answer:
21 degrees
Please read step-by-step explanation to understand how I came to this conclusion.
Explanation:
We know that all angles on a straight line add up to 180 degrees.
We also know that all interior angles of a triangle add up to 180 degrees.
Angle 1: a-32 (given)
Angle 2: a-31 (given)
Angle 3: 180-a
We subtracted A from 180 to find the other angle. Adding up both angles on that line, a + 180 - a = 180, meaning that both angles are valid.
Now let's add up the angles to 180 degrees
a-32 + a-31 + 180-a = 180
3a-63+180 = 180
3a = 63
a = 21 degrees