Question

In the given fig. O is the centre of the circle and angleDAB=50°. Find x and y​

Answer 1

Answer:

x=100° and y= 50°

Step-by-step explanation:

in ∆AOB, OA=OB since they are radii of same circle

therefore angle OAB = angle OBA=50° (angles opp. to equal sides are equal)

so angle AOB = 180-(50+50) = 80° (using angle sum property of a ∆)

since angle AOB = 80

x = 180 - 80 =100 (supplementary angles)

then, angle subtended by major arc DB at centre is x and at remaining part of circle is y.

therefore using the theorem- the angle subtended by an Arc at the centre is double the size of the angle subtended by it on the remaining part of the circle.

therefore 2y = x

since x= 100° y = 50°

hope this is what u were looking for!!