Question

Find x, y and O in the following figure

Answer 1

Answer:

x=108, y=144 ok o= 216 I hope it will help

Answer 2

In ∆AOB

OA=OB (Both are radii of same circle)

Therefore,

Angle OBA =Angle OAB = 15°

(Angles opposite to equal sides are equal)

In ∆AOC

OA=OC (Both are radii of same circle)

Therefore,

Angle OCA =Angle OAC = 21°

(Angles opposite to equal sides are equal)

Angle A (x) = Angle OAB + Angle OAC

x = 15° + 21° = 36°

As O is the centre of the circle,

Angle BOC = 2×Angle BAC

(Angle at the centre is twice the angle at the circumference)

y = 2x

y = 2×36°= 72°

• x = 36°
• y = 72°