Question

In the given figure, ‘O’ is the centre of the circle and AE = ED. If ∠ABC = 110° then ∠CBD is equal to ______.

विकल्प

• 20°

• 30°

• 40°

• 55°

Answer 1

In the given figure, ‘O’ is the centre of the circle and AE = ED. If ∠ABC = 110° then ∠CBD is equal to 20°.

Explanation:

∠ABC = 110° subtends arc ADC. Since AE = ED, point E divides arc AD into two equal arcs, so arc AE = arc ED.

Thus, the angle subtended by half of arc AD at point C gives ∠CBD = 20°.