In the following figures, O is the centre of the circle. Find the values of a, b and c.
Exercise 17 (A) | Q 4.1 | Page 257
Download our app for free and get started
Here, $b=\frac{1}{2} \times 130^{\circ}$
(Angle ate he centre is double the angle at the circumference subtended by the same chord)
⇒ b = 65°
Now, a + b 180°
(Opposite angles of a cyclic quadrilateral are supplementary)
⇒ a = 180°- 65°= 115°
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionIf I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D. If ∠BAC = 66° and ∠ABC = 80°. Calculate : ∠DBC
- 2View SolutionIn the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°.
Calculate : ∠ NRM
- 3View SolutionIn the following figure, AD is the diameter of the circle with centre O. chords AB, BC and CD are equal. If ∠DEF = 110°, Calculate: ∠AEF
- 4View SolutionIn the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find : ∠AOB
- 5View SolutionIn the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°.
Calculate: ∠RNM,
- 6View SolutionIn the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°.
Calculate : ∠DAB
Also show that the ΔAOD is an equilateral triangle .
- 7View SolutionIn the figure, given alongside, CP bisects angle ACB. Show that DP bisects angle ADB.
- 8View SolutionIn a regular pentagon ABCDE, Inscribed in a circle; find ratio between angle EDA and angle ADC.
- 9In the figure, $O$ is the centre of the circle and the length of arc $AB$ is twice the length of arc $BC.$ If angle $AOB = 108^\circ$ find $: \angle ADB.$View Solution
- 10View SolutionIn the given figure, O is the centre of the circle and ∠ABC = 55°. Calculate the values of x and y.
