Question

POB is a diameter of a circle. P,A,B and Q are points pn a circle. If the measure of of angleAPB = 60 degree the measute of angleBQA will be : a)60 degree b)45 degree c) 30 degree d) 15 degree​

Answer 1

Answer:

60 degree

will be the angel of BQA

Answer 2

a) 60°

Step-by-step explanation:

Given,

POB is the diameter of the circle with center O.

$\angle APB=60\°$

We have to find the measure of ∠BQA.

We have attached the diagram for your reference.

Solution,

Since ∠APB and ∠BQA are angles subtended by the arc AB on the circumference of the circle.

And according to theorem;

"Angles on the same segment are equal in measure".

So we can say that;

$m\angle APB=m\angle BQA$

And also given that;

$\angle APB=60\°$

So we can say that;

$\angle APB=\angle BQA =60\°$

Hence the measure of ∠BQA is 60°.