Question

angle ABC=50 find the measure of angle ADC and measure of angle CDP

Answer 1

Angle ADC=110 (by cyclic quadrilater theorem) and CDP=50 (linear pairs of angles)

Answer 2

angleABC+ angleADC=180

( sum of either pair of opposite side of a cyclic quadrilateral is 180 degree)

therefore,angleADC=180-50

=130

angleCDP+angleADC=180(straight line)

angleCDP=180-130

=150