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
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
In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.
In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.
In the given figure, O is the centre of a circle and PQ is a diameter. If ∠ROS = 40°, find ∠RTS.
If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.
If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
