Advertisements
Advertisements
प्रश्न
If O is the centre of the circle, find the value of x in the following figure
Advertisements
उत्तर
We have
∠AOC = 120°
By degree measure theorem
∠AOC = 2∠APC
⇒ 120° = 2∠APC
⇒∠APC= `(120°)/2=60°`
∴∠APC + ∠ABC = 180°
⇒ 60° + ∠ABC = 180°
⇒ -60° +180° = ∠ABC
⇒ ∠ABC = 120°
∴∠ABC + ∠DBC = 180°
⇒120 + x = 180°
⇒ x = 180° -120° = 60°
APPEARS IN
संबंधित प्रश्न
Fill in the blank:
Segment of a circle is the region between an arc and .................. of the circle.
Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
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 figures.
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 the circle, prove that ∠x = ∠y + ∠z.
Prove that the angle in a segment shorter than a semicircle is greater 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 circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.
In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =
