Advertisements
Advertisements
Question
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.
Advertisements
Solution
In ΔCDE,
∠CDE + ∠DCE = ∠CEB ...(Exterior angle)
⇒ ∠CDE + 20° = 130°
⇒ ∠CDE = 110°
However, ∠BAC = ∠CDE ...(Angles in the same segment of a circle)
⇒ ∠BAC = 110°
APPEARS IN
RELATED QUESTIONS
In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.
Fill in the blank:
Segment of a circle is the region between an arc and .................. of the circle.
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.
O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A.
In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.
In the given figure, AB is a diameter of the circle such that ∠A = 35° and ∠Q = 25°, find ∠PBR.
If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.
The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
In the following figure, ∠ACB = 40º. Find ∠OAB.
