Question

Quadrilateral ABCD is a kite such that AB BC and AD CD. If mZA = 58° and mZB = 72°, what is mZD? (Z is the angle symbol lol)

Answer 1

In ABC and ADC

angle BAC = angle DAC (given)

angle ACB = angle ACD (given)

AC = AC (common)

• ABC congruent ADC {ASA axion}

° ° AB = AD and C B = CD {by cpct}