# Form 2 Angle Properties of a Circle Questions and Answers

Form 2 Angle Properties of a Circle Questions and Answers

Lessons (**29**) * SHARE*

- 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

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