Question

Describe a situation in which two angles are both congruent and conplementry. Explain

Answer 1

45-45-90 triangle

Answer 2

Given angle measures A and B, congruency requires that they satisfy the following:\[A=B\]Additionally, for the two angles to be complementary, the following also needs to be satisfied:\[A+B=90\]Substituting the first equation into the second gives\[A+(A)=90\]\[2A=90\]\[A=45\]Therefore, also:\[B=45\]