Question

PLSSSSSS HELP!!!! TIME LIMITEDDD!!!!!! Joan wants to draw a picture that includes a pair of complementary angles. Joan wants one of the angles to be 18° more than the other angle. Select True or False for each statement about the angles.

The smaller angle is 18°.

The smaller angle is 36°.

The larger angle is 54°.

The larger angle is 72°.

Answer 1

True: The smaller angle is 36°; The larger angle is 54°

False: The smaller angle is 18°. The larger angle is 72°

If you create an equation using this scenario, it would be (18+x)+x=90, because complementary angles sum up to 90°. Add the like terms to get 18+2x=90. Subtract 18 on both sides to get 72. Divide 2 on both sides to result with x=36. Subtract 90 with 36 to get 54. The smaller angle is 36° and the larger angle is 54°.