Q. 265.0( 1 Vote )

# In the given figu

Answer :

Given: OAB = 20° and OCB = 50°

Here,

In ΔAOB

OA = OB (radius)

OAB = OBA (angles opposite to equal sides are equal)

OBA = 20°

Now, by angle sum property

AOB + OBA + OAB = 180°

AOB + 20° + 20° = 180°

AOB = 180° – 20° – 20°

AOB = 140°

Now, Consider Δ BOC

OC = OB (radius)

OCB = OBC (angles opposite to equal sides are equal)

OBA = 50°

Now, by angle sum property

COB + OBC + OCB = 180°

COB + 50° + 50° = 180°

COB = 180° – 50° – 50°

COB = 80°

Here,

AOB = AOC + COB

140° = AOC + 80°

AOC = 140° 80°

AOC = 60°

AOC = 60°

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Prove that there RS Aggarwal & V Aggarwal - Mathematics

Number of circlesRD Sharma - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

The question consRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the give figurRS Aggarwal & V Aggarwal - Mathematics

Prove that an angRS Aggarwal & V Aggarwal - Mathematics