Question

Please Help! Geometry

Answer 1

x =14, y = 38

Explanation:

Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

`5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = (70)/(5) \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = (76)/(2) \\ \\ y = 38`