Question

please solve

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Answer 1

Answer:

• If the given figure lines XY and MN intersect at O, given that ∠POY = 90°, and a : b = 2 : 3, thus, ∠XON = c = 126°.

Step-by-step explanation:

• hope it helps you!

Answer 2

Answer:

∠XOP + ∠POY = 180°

∵ straight supplementary

∠XOP + 90° =180°

∴∠XOP = 180° – 90° = 90°

But, ∠XOP = a + b = 90°

a : b = 2 : 3 2 + 3 = 5

Ratio

Ratio 5 means 90° = 2 × 90 5 2×905 = 2 x 18 = 36°

∴ If a = 36° then, ∠b = 54°.

∠XOM = ∠YON = b = 54° (∵ Vertically opposite angles)

∠XON + ∠YON = 180° (∵v Straight angle)

∴ c + 54° = 180°

c = 180 – 54

∴ c = 126°.