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Form 2 Angle Properties of a Circle Questions and Answers

Lessons (29)

1. Find the values of x and y from the given
1m 54s
2. Find the values of x and y
3m 9s
3. In the figure below, calculate #angle#LNP if #angle#PLM = 70° and #angle#KNL = 42°.
1m 28s
4. In the figure below, 0 is the centre of the circle. The reflex angle AOD = 256° and #angle#ACE = 50°. Calculate: (a) #angle#BDC (b) #angle#BAE.
2m 56s
5. In the figure below, #angle#VUZ = 110° and #angle#XVY = 30°. Find the value of #angle#VWY.
2m 4s
6. In the figure below, 0 is the centre of the circle and BA is parallel to CD. If #angle#BAC = 31°, calculate #angle#BCO and #angle#ADE.
3m 16s
7. In the figure below, WXYZ is a cyclic quadrilateral and VWZ a straight line. Angle VWX = 97° and #angle#XZY = 43°. Calculate the size of angle ZXY.
1m 21s
8. Copy and complete the table below. All angles are subtended by the same arc.
1m 47s
9. In the figure below, O is the centre or the circle. Find obtuse #angle# AOB.
1m 18s
10. The figure below shows a circle with the centre at 0: Find the values of a, b, c and d if #angle# PQO = 40° and #angle# PSO = 30°.
2m 14s
11. In the figure below, O is the centre of the circle. Show that the reflex angle #angle# POR = 2 #angle# PQR.
3m 55s
12. In figure below, O is the centre of the circle. LN and PM are diameters. Show that LM is parallel to PN:
1m 27s
13. In the figure below, O is the centre of the circle. Calculate x.
0m 36s
14. In the figure below, O is the centre of the circle and POM is the diameter. If #angle#QLK = 73°, calculate #angle#QNM:
3m 47s
15. In the figure below, O is the centre of the circle and DOB is the diameter. Find x and y if ABCO is a rhombus and #angle#AOD =120°.
1m 28s
16. In the figure below, O is the centre of the circle. BOD is the diameter, AC=BC and #angle#BAC = 25°. Find the size of: (a) #angle#AOD. (b) #angle#BAO.
2m 39s
17. AB and CD are intersecting chords of a circle with centre O. If AB is the diameter of the circle, show that: (a) #angle#AOC = 2 #angle#ABC. (b) ADB = 90°.
7m 29s
18. Two circles with centres O and R intersect at P and Q as shown in the figure below. OR cuts the circles at S and T respectively. If #angle#AOR = 150° and #angle#BRO = 120°, find a, b and c.
4m 34s
19. In a circle KLMN with centre O, the diagonals of quadrilateral KLMN intersect at R #angle#LKM=38°, #angle#LNK = 64° and #angle#KRN = 82°. Find: (a) #angle#KNM. (b) #angle#LMN. (c) #angle#KLM.
5m 50s
20. The figure below shows a circle ABCD, centre O. BO is perpendicular to the diameter AOD and #angle#COD = 30°. Calculate. (a) #angle#BCA. (b) #angle#CAD.
3m 2s
21. ACB is a circle, centre O, with diameter AB perpendicular to BD as shown in the figure below. If BC = BD = CD and DO is perpendicular to BC, find p and t.
2m 48s
22. Find the values of a and b in the figure below.
0m 41s
23. In the figure below, calculate the angles marked v, w, x, y and z:
3m 20s
24. In the figure below, O is the centre of circle ABCDE and BOE is the diameter: #angle#COD = 80° and CB = CD. Calculate the angles marked p, q, r and s.
3m 42s
25. In the figure below, 0 is the centre of the circle. Find the values of x and y.
2m 21s
26. Find the angles marked by small letters.
5m 23s
27. In the figure below, O is the centre of the circle. Calculate the value of angle a.
1m 3s
28. Find the value of x and y.
0m 59s
29. Two equal chords WX and YZ are produced to meet at T. If #angle#WYX = 73° and #angle#YZW = 37°, show that #angle#TZX = #angle#XWY = 70°.
3m 21s

Form 2 Angle Properties of a Circle Questions and Answers

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