Question

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle A?



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__°

Answer 1

116° for all of my k12 friends

Explanation:

Answer 2

The measure of the opposite angles of an inscribed quadrilateral are supplementary.

Since we don't know the value of x we will set angle B + angle D = 180.

28 + x = 180
x = 180 - 28
x = 152

Now substitute 152 for x and find the measure of angle A.

Angle A:

(x - 36)
(152 - 36)
116

Angle A is 116°

Hope this helps :)