Question

draw xox and yoy as axes on the plane of a paper and plot the points given below (a)(3,5) (b)(2,-5) (c)(-4,-5) (d)(-6,2)​

Answer 1

In circle with centre O,

∠AOC = 120°, AB is produced to D

∵ ∠AOC = 120°

and ∠AOC + convex ∠AOC = 360°

⇒ 120° + convex ∠AOC = 360°

∴ Convex ∠AOC = 360° – 120° = 240°

∴ Arc APC Subtends ∠AOC at the centre and ∠ABC at the remaining part of the circle

∴ ∠ABC = 12∠AOC = 12x 240° = 120°

But ∠ABC + ∠CBD = 180° (Linear pair)

⇒ 120° + x = 180°

⇒ x = 180° – 120° = 60°

∴ x = 60°