Question

The qngles of a cyclic quadrilateral are the cinsective terms of an arithmetic sequence and one of the angle is 45°
a)what is the measure of the angle opposite to 45° angle?
b) find the measure of other two angles of the quadrilateral.

Answer 1

a ) the measure of angle opposite to 45° is 135° ,
because,

By cyclic quadrilateral theorem opposite angles of cyclic quadrilateral are supplementary.

i.e. 45°+ x = 180°
x = 180°-45°
x = 135°

b ) the other two angles are also as angle of
45° and 135°