Question

A women bought 31/6 kg of potatoes 41/12 kg of tomatoes and 9/8 kg of carrots .what was the total quantity of vegetables she purchased? answer with explanations step by step ​

Answer 1

Arc AC subtends ∠AOC at the centre and ∠APC at the remaining part of the circle

∴ ∠APC = 12 ∠AOC

= 12 x 100° = 50°

∵ APCB is a.cyclic quadrilateral,

∴ ∠APC + ∠ABC = 180°

⇒ 50° + ∠ABC = 180° ⇒ ∠ABC =180°- 50°

∴ ∠ABC =130°

But ∠ABC + ∠CBD = 180° (Linear pair)

⇒ 130° + ∠CBD = 180°

⇒ ∠CBD = 180°- 130° = 50°

∴ ∠CBD = 50°