Question

If the measure of angle ABC = 50°, what is the measure of angle ADC?

Answer 1

Given the figure, ABCD is a cyclic quadrilateral.

As shown, m∠ABC = 50°

For the cyclic quadrilateral:

m∠ABC + m∠ADC = 180

So,

m∠ADC = 180 - m∠ABC = 180 - 50 = 130

So, the answer will be⇒m∠ADC = 130°