Problem 1 :
P, Q and R are points on the circumference of a circle, center O. PR is the diameter of the circle and ST is a tangent to the circle at the point R.
∠QRS = 58
a) Work out the size of angle QRP.
b) Work out the size of the angle QPR.
Problem 2 :
Work out the size of each angle marked with a letter. Give reasons for your answers.
Problem 3 :
In the circle given below, U is the point of ST such that RUT is right angle.
find
a) ∠URT b) ∠ROT c) ∠ORU d) ∠ORT
Problem 4 :
Problem 5 :
Work out the size of each angle marked with a letter. Give reasons for your answers.
Problem 6 :
In the given figure O is the center of the circle and SP is a tangent. If ∠SRT = 65, find the values of x, y and and z.
Problem 7 :
Work out the size of each angle marked with a letter. Give reasons for your answers.
Solution
1) ∠QRP = 32, ∠QPR = 58
2) b = 66
3) ∠STR = 53, ∠TRU = 37, ∠ROT = 74
4) g = 35
5) g = 62, h = 28
6) x = 25, y = 50 and z = 40
7) e = 108, d = 36, f = 54
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM