Question

Can I get help with this problem

Answer 1

The value of x is 116° and y = 90°

Explanation:

Given that opposite supplementary angles in a cyclic quadrilateral is 180° :

`x + 64 = 180 \\ x = 180 - 64 \\ x = 116`

`y + 90 = 180 \\ y = 180 - 90 \\ y = 90`

Answer 2

x = 116°

y = 90°

Explanation:

∠F = 90°, so arc EDS = 180°.

Therefore, arc EFS = 360° − 180° = 180°. Which means ∠D = 90°.

Angles of a quadrilateral add up to 360°, so:

x + 90° + 90° + 64° = 360°

x = 116°