Question

Difference between the opposite angles of a cyclic quadrilateral is 24. Find the angles.

Answer 1

Heya,


Let the opposite angles be x and y

Opposite angles of a cyclic quadrilateral are supplementary.

=> x +y =180°

X =180°-Y------(1)

Given,

X-Y = 24--(2)

Substitute eq (1) in eq (2)

180-Y-Y= 24

180-2Y = 24

-2Y = - 156

Y = 156/2

Y = 78

Therefore the opposite angles are 78 and 180-78 = 102.

Hope it helps u...

Answer 2

Hi Friend,

Here is your answer,

let's take the opposite angel as X and Y

Opposite angles of a cyclic quadrilateral are supplementary.

X +Y =180°

X =180°-Y ( equation 1)

Given as per the question

X-Y = 24 (equation 2)

So we are substituting the equation (1) in equation (2) 

180-Y-Y= 24
180-2Y = 24
-2Y = - 156
Y = 156/2
Y = 78

Therefore the opposite angles are 78.

SO, 180-78=102.


Hope it helps you!!!