Advertisements
Advertisements
प्रश्न
If O is the centre of the circle, find the value of x in the following figures.
Advertisements
उत्तर
∠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
संबंधित प्रश्न
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
Prove that the angle in a segment shorter than a semicircle is greater than a right angle.
Prove that the angle in a segment greater than a semi-circle is less than a right angle.
Prove that the line segment joining the mid-point of the hypotenuse of a right triangle to its opposite vertex is half the hypotenuse.
In the given figure, two congruent circles with centres O and O' intersect at A and B. If ∠AOB = 50°, then find ∠APB.
In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.
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, 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).
A circle has radius `sqrt(2)` cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in major segment is 45°.
