Angle Subtended by an Arc of a Circle at the Centre
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In the given figure, if ∠OAB=40∘, then ∠ACB = ___.
40∘
50∘
70∘
60∘
- 30∘
- 60∘
- 40∘
- 50∘
Write True or False and justify your answer :
If A, B, C and D are four points such that ∠BAC=45∘ and ∠BDC=45∘ , then A, B, C, D are concyclic.
ABCD is such a quadrilateral that A is the centre of the circle passing through B, C and D. Prove that ∠CBD+∠CDB=12∠BAD.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/477816/original_original_asdasd.png)
- 10∘
- 30∘
- 15∘
- 20∘
In the figure, if ∠OAB=40∘, the ∠ACB is equal to
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/22309/content_54.png)
(A) 50∘
(B) 40∘
(C) 60∘
(D) 70∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/27161/content_58.png)
- x∘+y∘=120∘
- x∘+y∘=180∘
- x∘+y∘=90∘
- x∘+y∘=150∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/22309/content_54.png)
- 50∘
- 12∠AOB
- 60∘
- 70∘
In the given figure ∠ AOC=130∘, The value of ∠ ABC (in degrees) is _______.
95∘
115∘
50∘
100∘
- 55∘
- 35∘
- 70∘
- 105∘
In the figure, if ∠OAB=40∘, ∠ACB is equal to
50∘
12∠AOB
60∘
70∘
ABCD is such a quadrilateral that A is the centre of the circle passing through B, C and D. Prove that ∠CBD+∠CDB=12∠BAD.
In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.
12∠AOC
45∘
12∠AOB
30∘
Given a circle with O as the centre. Find the value of x.
80°
150°
50°
40°
- ∠CBD+∠CDB=∠BAD
- ∠CBD+∠CDB=12∠BAD
- ∠CBD+∠CDB=34∠BAD
- ∠CBD+∠CDB=23∠BAD
- 5 cm
- 6 cm
- 2√11cm
- 8 cm
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/27216/content_70.png)
- 50∘
- 40∘
- 70∘
- 60∘
In figure, A, B and C are three points on a circle with centre O such that ∠BOC = 30∘ and ∠AOB = 60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.
60°
45°
30°
90°
In figure, ∠ACB=40∘. Find ∠OAB.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/70065/content_capture.png)
If ∠ACB=40∘, then what is the value of x?
- 50∘
- 60∘
- 90∘
- 80∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/27144/content_54.png)
- 90∘
- 120∘
- 60∘
- 45∘
In the given figure ∠ AOC = 130∘, The value of ∠ ABC (in degrees) is _______.
95
115
50
100
![878952_37fe0795b80d49c5a284c200a38d7fe2.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/878952_37fe0795b80d49c5a284c200a38d7fe2.png)
- 20∘
- 45∘
- 70∘
- 65∘
BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC and ∠OBC.
100∘
90∘
120∘
150∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/170135/content_255867.png)
- 75∘
- 60∘
- 45∘
- 50∘
∠EDB
![1715758_88a581125fb04cb78ba69083a2b8fc06.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1715758_88a581125fb04cb78ba69083a2b8fc06.png)
If ∠COD=80∘, then ∠CAD = ___.
- ∠CBD
- 40∘
- 160∘
- ∠COB
In the given figure, O is the centre of the circle. Find x.
50∘
40∘
30∘
20∘