Question

IN THE GIVEN FIGURE ABCE IS A CYCLIC QUADRILATERAL AND O IS THE CENTRE OF THE CIRCLE . IF ANGLE AEC IS EQUAL TO 100 THEN FIND THE MEASURE OF THE ANGLE ABC AND ANGLE ADC

Answer 1

Answer:

Measure of angle ABC = 80

Since angle ABC is opposite of angle AEC and given that AEC is 100 degree so according to the cyclic quadrilateral theorem sum of the opposite angles is 180 degrees so

AEC + ABC = 180

100 + ABC= 180

ABC = 180 - 100

ABC = 80