Question

in a cyclic quadrilateral ABCD diagonal angleA -angleC=60 .Find angleA and angleC

Answer 1

Answer:

A = 120   C = 60

Step-by-step explanation:

By the theorem of opposite angles of cyclic quadrilateral,

A + C = 180,

By the given Condition,

A - C = 60,

Solve these equations by the Linear equation in two variables,

(A - C = 60) - (A + C = 180)

Therefore, 2C = 120

C = 60

Put C = 60 in eq. no. 1

A + C = 180

A + 60 = 180

A = 180 -60

A = 120

There u got it friend!