Quadrilateral ABCD is inscribed in this circle. What is the measure of angle A?

Question

I got 116, is my answer correct?

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Answer 1 · 2017-05-12T18:09:28

#x+28^@=180^@ rArr x=152^@.#

#:. m/_A=x-36^@=152^@-36^@=116^@.#

Answer 2 · 2017-05-12T19:10:23

#m/_ A=116^@#

The quadrilateral is a cyclic quadrilateral, and it has the basic property that opposite angles add up to #180^0#

so #/_B+/_D=180^@#

#x+28=180#

#=>x=180^@-28^@=152^@#

so #/_A = x - 36^@= 152^@ - 36^@=116^@#