MEDIUM
10th West Bengal Board
IMPORTANT
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PQ is a diameter of a circle. R is another point on the circumference of the circle. What is the value of ∠PRQ?

Important Questions on Theorems regarding angles in the segment of a circle

MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 2
In a cyclic quadrilateral ABCD, P is the point of intersection of the diagonals AC and BD. If ∠APB=64° and ∠CBD=28°, then what is the value of ∠ADB?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 2
In a cyclic quadrilateral ABCD, if AB=AD,∠DAC=60° and ∠BDC=50°, then what is the value of ∠ACD?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 2
AB is the diameter of the circle. The chord CD of the circle is parallel to AB. If ∠CAB=65°, find the value of ∠ADC.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 3
ABCD is a cyclic quadrilateral. O is the centre of the circle. If ∠COD=130° and ∠BAC=25°, find the value of ∠BOC.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 3
ABCD is a cyclic quadrilateral. O is the centre of the circle. If ∠COD=130° and ∠BAC=25°, find the value of ∠BCD.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 4
AB is the diameter of a circle. The chord CD intersects AB at E. If ∠ACE=30°, find the value of ∠DAE.
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 4
ABCD is a cyclic quadrilateral, where ∠DAC=27°,∠DBA=50° and ∠ADB=33°. Find ∠BOC and ∠BCD.
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 12 - Theorems regarding angles in the segment of a circle>EXERCISE 2>Q 5
AC and AD are two equal chords of a circle with centre O. AB is a diameter of the circle. If ∠COD=140°, find ∠DAB.