Question

Find x and y

x = 57.5
y = 115

Answer 1

According to degree measure theorem in a circle,

y = 1/2 × 230°

y = 115°

All angles around a point add up to 360°

Therefore,

Angles around centre sum up to 360°

Reflex angle O = 230°

Therefore, angle O = 360°-230° = 130°

Sum of all angles of a quadrilateral = 360°

Therefore, in the quadrilateral given,

x + x + y + angle O = 360°

2x + 115° + 130° = 360°

2x + 245° = 360°

2x = 360° - 245°

2x = 115°

x = 1/2 × 115°

x = 57.5°

Hope it helps

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