Advertisements
Advertisements
प्रश्न
If O is the centre of the circle, find the value of x in the following figure

Advertisements
उत्तर
In ΔDAB by angle sum property
∠ADB + ∠DAB + ∠ABD = 180°
⇒ 32° + ∠DAB + 50° = 180°
⇒ ∠DAB = 180° - 32° - 50° = 98°
Now,
∠CAB + ∠DAB = 180° ...(Opposite angles of cyclic quadrilateral)
⇒ 98° + x = 180°
⇒ x = 180° - 98° = 82°
APPEARS IN
संबंधित प्रश्न
Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.
Given an arc of a circle, show how to complete the circle.
In the below fig. O is the centre of the circle. Find ∠BAC.

If O is the centre of the circle, find the value of x in the following figure

If O is the centre of the circle, find the value of x in the following figure

In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.

In the given figure, O is the centre of the circle, prove that ∠x = ∠y + ∠z.

A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
In the following figure, ∠ACB = 40º. Find ∠OAB.

In the following figure, AB and CD are two chords of a circle intersecting each other at point E. Prove that ∠AEC = `1/2` (Angle subtended by arc CXA at centre + angle subtended by arc DYB at the centre).

