In the given figure, AOC is a diameter and AC is parallel to ED. If ∠CBE = 64°, Calculate ∠DEC .
Exercise 17 (A) | Q 46 | Page 261
Download our app for free and get started
Join AB,
∠ABC = 90°
(Angle in a semi circle)
∴ ∠ABE = 90° - 64° = 26°
Now, ∠ABE = ∠ACE = 26°
(Angle in the same segment)
Also, AC || ED
∴ ∠DEC = ∠ACE = 26° (Alternate angles)
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 SolutionThe given figure shows a circle with centre O and ∠ABP = 42°
Calculate the measure of:
(i) ∠PQB
(ii) ∠QPB + ∠PBQ - 2View SolutionIn the given figure, O is the centre of the circle. ∠OABand ∠OCB are 30° and 40°
respectively. Find ∠AOC . Show your steps of working.
- 3View SolutionTwo circles intersect at P and Q. through P diameter PA and PB of the two circles are drawn.
Show that the points A, Q and B are collinear. - 4In the given figure, $A O B$ is a diameter and $D C$ is parallel to $A B$. If $\angle C A B=x^0$; find (in terms of $x$ ) the values of: $\angle$ ADC.View Solution
- 5View SolutionIn the figure, given alongside, AB ∥ CD and O is the centre of the circle. If ∠ADC = 25°; find
the angle AEB give reasons in support of your answer.
- 6View SolutionIn the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°.
Calculate : ∠ NRM
- 7View SolutionIn the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight sided polygon inscribed in the circle with centre O. Calculate the sizes of:
(i) ∠AOB, (ii) ∠ACB (iii) ∠ABC
- 8View SolutionUse the given figure to find:
(i) ∠BAD,
(ii) ∠DQB
- 9In the figure, AB is a common chord of the two circles. If AC and AD are diameters; prove that D, B, and C are in a straight line. $O_1$ and $O_2$ are the centers of two circles.View Solution
- 10View SolutionIn the given figure, AB = BC = CD and ∠ABC = 132° . Calcualte: ∠ COD.
