Question

In a cyclic quadrilateral ABCD, angle A isto angle C =3 isto 1 and angle B isto angle D =1 isto 5; find each angle of the quadrilateral.

Answer 1

We know that
Opposite angles of a cyclic quadrilateral are supplementary
A + C = 180 and B + D = 180

But B : D  = 1 : 5 
Let B = x and D = 5x
x + 5x = 180 
6x = 180
x = 30 degrees
So, B = 30 degrees and D = 150 degrees
But A : C  = 3 : 1 
Let A = 3x and C = x
3x + x = 180 
4x = 180
x = 45 degrees
So, A = 135 degrees and C = 45 degrees

Answer 2

Answer:

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Step-by-step explanation:

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