Question

If the measures of one angle of a cyclic qadrilateral is 105° find the measure of its opposite angle

Answer 1

Hey friend.

As we know that sum of opposite angles of a quadrilateral is 180°.

Hence,
               105° + opposite angle = 180°
            opposite angle = 180° - 105°
                                    => 75°.

So, the measure of opposite angle = 75°.

hope it helps ^_^

Answer 2

Given, 
One of the angle of the cyclic quadrilateral = 105 degrees

let x be opposite angle

We know that opposite angles of a cyclic quadrilateral are supplementary.

Therefore, 

105 + x = 180
x= 75 degrees.

hope it helps u..