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1. 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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