Question

Quadrilateral UVST is inscribed in circle o, as shown below 3y-7 3x-4 2y+7 5x+8 A Find the value of x? B. Find the value of y?

Answer 1

UVST

Is valid relation here

Sum of Opposed angles = 180°

And Sum of angles = 360°

Its divided in 2 rectangle triangles.

Then Angles (5x + 8 ) + (3x - 4) = 180°

Find x. (5x + 3x ) = 180 - 8 + 4

. 8x = 176

. x= 176/8= 44/2= 22

Also Angles (3y - 7 ) + (2y + 7) = 180°

Find y (3y + 2y ) = 180 -7 + 7 = 180

. 5y = 180

. y= 180/5 = 36

THEN Answers are

A. Value of x= 22

B. Value of y= 36