Question

find angleB
with complete explanation

Answer 1

hope this helps you!!!

Answer 2

Since, all the points of the quadrilateral lie on the circle, it is a cyclic quadrilateral.

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

So , A + C = 180°
2x + 10 + y - 50 = 180°
2x + y - 40 = 180
2x + y = 220 -----(1)

Similarly, B + D = 180°
x + 20 + y - 10 = 180
x + y + 10 = 180
x + y = 170 ------(2)

Equating (1) and (2) we get,
x = 50°

So angle B = x + 20 = 50 + 20 = 70°

Hope This Helps You!