Question

Choose the best answer choice.

Answer 1

a.83
b.106
c.75
d.97

Answer 2

Hint:
In a circumscribed quadrilateral, opposite angles are supplementary.
-supplementary means they add up to 180 degrees
- circumscribed quadrilateral means the four points of the polygon lie on the circumference of a given circle.

Answer 3

so do i add 83 and 74 then subtract by 180? @mathmate

Answer 4

Since ABCD is a cyclic quadrilateral
so sum of opposite angles must be =180 degree
\[\angle B + \angle D =180^0 \rightarrow 74^0 + \angle D =180^0\]
\[ \angle D =180^0-74^0 = 106^0\]
Hence \[ \angle D = 106^0\]
So b.106 is correct option

Answer 5

Note: angle A has been provided to confuse/test students.
It is not required for calculations.