The measure of angles are 64 degrees and 26 degrees
Solution:
Let "x" be one of the complement angle
Let "y" be the other angle
Complementary angles are two angles whose sum is 90 degrees
Therefore,
x + y = 90 ---------- eqn 1
The measure of the complement of an angle is 12 degrees more than twice the measure of the angle
measure of complement angle = 12 + twice the measure the measure of other angle
x = 12 + 2y ------------- eqn 2
Solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
12 + 2y + y = 90
12 + 3y = 90
3y = 78
y = 26
Substitute y = 26 in eqn 2
x = 12 + 2(26)
x = 12 + 52
x = 64
Thus the measure of angles are 64 degrees and 26 degrees