Question

You are riding your bike and notice the square sign above. You mentally draw a straight line from point A to C.

1. Describe the angle relationship between ∠DCA and ∠BCA

2. Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning

(both questions are separate)

Answer 1

1. The angles DCA and BCA are the same.

2. Angles DCA and BCA are not supplementary. Since the both of them add up to 90° (we know that angle c is equal to 90° because in a right square all angles are 90°) the angles would be complementary, not supplementary. Supplementary angles add up to 180°