The measure of both angles are 112.5 and 68.5 degrees
Complementary angles
The sum of two complementary angles is 90 degrees.
If two angles are complementary, then;
x + y = 90
x = 90 - y..........1
where x and y are the angles
If two times the measure of one is equal to 40% of the measure of the other then;
2x = 0.4y ............2
Substitute equation 1 into 2
2(90-y) = 0.4y
180 - 2y = 0.4y
180 = -0.4y + 2y
1.6y = 180
Divide both sides by 1.6
1.6y/1.6 = 180/1.6
y = 112.5 degrees
For the other angle
x= 180 - y
x = 180 -112.5
x = 68.5 degrees
Hence the measure of both angles are 112.5 and 68.5 degrees
Learn more on complementary angles here: https://brainly.com/question/16281260
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