Question

NEED HELP WITH THIS MATH PROBLEM QUICK!!!

Answer 1

`\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}}`