Question

4. Given angle TOR = 130°, find angle x (TPR), angle y (TQR) and angle z (TSR).
Given reasons for your answer

Answer 1

∠TQR=∠TSR=∠TPR=65°

Step-by-step explanation:

Given,∠TOR=130°

To find,∠TPR,∠TQR,∠TSR

We know that,in a circle angle subtended at centre is double the angle subtended on circumference.

By the help of this property,

∠TOR=130°  which is subtended at centre,so the angle

∠TPR=$\frac{130}{2}$

∠TPR=65°

Similarly,

∠TQR=∠TSR=65°

Hence,

∠TQR=∠TSR=∠TPR=65°