ANGLE IN THE SAME SEGMENT OF A CIRCLE WORKSHEET

Problem 1 :

Find the value of x.

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Work out the size of each angle marked with a letter. Give reasons for your answers.

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

D is the point on the circumference of the circle such that angle BDC = 60

i) Write down the size of angle CAB

ii) Work out the size of angle ACB.

Solution

Answer Key

1) x = 18

2) x = 27

3) x = 55

4) x = 77˚

5) x = 50˚

6) a = 25 and b = 45

7) c = 44 and d = 46

8) e = 48 and f = 48

9) g = 100 and h = 100

10) ∠BAC = 60 and ∠ACB = 30

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