Thread: Competitive Exam Q related to Circles

Hey, I can't solve this Q which is in the prep book of a competitive exam that I'm taking. I have attached a pic of it.

Please do provide an explanation on how the answer can be obtained... Thanks in advance.

Originally Posted by SevenAces

Hey, I can't solve this Q which is in the prep book of a competitive exam that I'm taking. I have attached a pic of it.

Find the measures of .
The measure of is the angle you require.

Originally Posted by Plato

Find the measures of .
The measure of is the angle you require.

How do I do that???

Originally Posted by SevenAces

How do I do that???

Look up measures of arcs in your textbook.

Originally Posted by Plato

Look up measures of arcs in your textbook.

There aren't any measures of arcs specified..!?!? Can you please explain me step-by-step on how to obtain the solution. I have my test tomorrow!

Hi SevenAces.
Google angles between secants then regentsprep.org

Originally Posted by SevenAces

Hey, I can't solve this Q which is in the prep book of a competitive exam that I'm taking. I have attached a pic of it.

Please do provide an explanation on how the answer can be obtained... Thanks in advance.

Angle CBA = Angle ACT = 48 degree

Triangle BCT,
Angle ACB = 180 - 48 - 36 - 48 = 48 degree

Angle subtended by AB at the centre of circle = 2 (48) = 96 degree