Advertisements
Advertisements
Question
If O is the centre of the circle, find the value of x in the following figures.

Advertisements
Solution

∠ABC = ∠ACD = 40° (Angle in the same segment)
In Δ PCD we have
∠CPD + ∠PCD + ∠PDC = 180°
40 ° + 110 ° + ∠PDC = 180°
∠PDC = 180° -150°
=30°
Hence X = 30 °
APPEARS IN
RELATED QUESTIONS
In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Find ∠BAC.

Fill in the blank:
Segment of a circle is the region between an arc and .................. of the circle.
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.
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

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

O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A.
In the given figure, O is the centre of the circle, BO is the bisector of ∠ABC. Show that AB = BC.

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

If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.
