Answer: Measure of angle 1: 79 degrees
Measure of angle 2: 11 degrees
Explanation:
Since angles 1 and 2 are complementary, we know that the sum of the measure of them is 90 degrees.
From this, we now have the equation 11x-42 + x = 90 degrees.
11x - 42 + x = 90 degrees
Now, we solve the equation for x.
11x - 42 + x = 90 degrees
12x - 42 = 90 degrees
12x = 132 degrees
x = 132/12 = 11
Now, we can solve for the measure of angles 1 and 2.
Measure of angle 1:
11x-42 = 121 - 42 = 79 degrees
Measure of angle 2:
x = 11 degrees