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NEED HELP WITH THIS MATH PROBLEM QUICK!!!

NEED HELP WITH THIS MATH PROBLEM QUICK!!!-example-1

1 Answer

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Answer:


\implies m\angle A =42\degree

Explanation:

Quadrilateral ABCD is inscribed in circle with center O.

-> Quadrilateral ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementay.


\implies m\angle B + m\angle D = 180\degree


\implies (2x)\degree + (3x-5)\degree = 180\degree


\implies (5x-5)\degree = 180\degree


\implies 5x-5= 180


\implies 5x= 185


\implies x= (185)/(5)


\implies x= 37


\implies m\angle A =(x+5)\degree


\implies m\angle A =(37+5)\degree


\implies \huge{\orange{m\angle A =\boxed{42}\degree}}

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