Answer: The measure of the angles are 72 degrees and 18 degrees Step-by-step explanation: we know that If two angles are complementary, then their sum is equal to 90 degrees Let x -----> the measure of an angle y-----> the measure of he other angle we know that x+y=90 -----> y=90-x -----> equation A x=y+54 ----> equation B substitute equation B in equation A and solve for y y=90-(y+54) y=90-y-54 2y=36 y=18° Find the value of x x=y+54 -----> x=18+54=72° therefore The measure of the angles are 72 degrees and 18 degrees
