Answer:
x = 116°
y = 90°
Step-by-step 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°
The value of x is 116° and y = 90°
Given that opposite supplementary angles in a cyclic quadrilateral is 180° :
[tex]x + 64 = 180 \\ x = 180 - 64 \\ x = 116[/tex]
[tex]y + 90 = 180 \\ y = 180 - 90 \\ y = 90[/tex]
