Question

6. Find the angle between two radii at the centre
of the circle as shown in the figure. Lines PA
and PB are tangents to the circle at other ends
of the radii and angleAPR = 110°.​

Answer 1

Answer:

110 degrees

Step by step explanation:

We know that PA and PB are tangents to the circle

Take point O as the center of the circle

we have OAP and OBP = 90 degrees (since they are the radius)

Given : APR = 110

and APB + APR = 180 (linear pair)

APB = 180 - APR = 180 - 110 = 70

APB = 70 degrees

Sum of angles of quadrilateral OAPB = 360 degrees

AOB + 90 + 90 + 70 = 360

AOB = 360 - 250

AOB = 110 degrees