Advertisements
Advertisements
Question
If O is the centre of the circle, find the value of x in the following figure
Advertisements
Solution
We have
∠AOB = 60°
By degree measure theorem: reflex ∠AOB = 2∠OAC
60° = 2∠OAC
∠OAC = `60^circ/2 = 30^circ` [Angles opposite to equal radii]
Or x = 30°
APPEARS IN
RELATED QUESTIONS
In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.
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.
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, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.
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.
In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.
In the following figure, ∠ACB = 40º. Find ∠OAB.
