CBSE BOARD X, asked by gs301426, 4 days ago

How to Solve Proving Questions Easily in class 10? (specially in Circles and constructions)

Answers

Answered by sundersingh7747

Answer:

What are some tips to solve or prove the circle related questions of class 10?

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Yogesh Kumar Arya

, SAP ABAP Trainee (2019-present)

Answered 4 years ago

Angle BAC = 75

The first thing we should see is OB, OA and OC are radius. So

OA = OB = OC.

Now , We have a property which says that

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Therefore

Angle DOC = Angle OAC + Angle ACO

Also we have a property which says that

If two sides of a triangle are equal, then the angles opposite those sides are equal. Therefore

Angle OAC = Angle ACO (Because OA = OC)

Now, Angle DOC =2 * Angle OAC

Angle OAC = 60/2 => 30.

Similarly,

Angle OAB = 90/2 => 45.

Therefore

Angle BAC = Angle OAB + Angle OAC

=> 45 + 30

Angle BAC => 75.

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