Question

in a cyclic triangle ABCD twice the measure of angle A is thrice measure of angle C then find the measure of angle A​

Answer 1

In a cyclic quadrilateral the sum of opposite angles is equal to 180°.

So, In quad. ABCD angle A and angle C are opposite angles.

Therefore, A + B = 180°

And also, A.T.Q. A = 3 of C

so, let C be x then A will be 3x.

So, 3x + x = 180°

4x = 180°

x = 180°/4

x=45°

so, 3x = 45°×3=135°

Therefore, angle A = 135°