Question

A,B,C and D are the four points on the circle AC and BD intersect at a point such that angle BAC is equal to 130° and Angle BCD is equal to 20° find angle BAC.
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Answer 1

SOLUTION:-

Given:-

• A,B,C and D are the four points on the circle.
• <BAC = 130°
• <BCD = 20°

Need to find:-

• The value of <BAC.

Step by step explanation:

In ∆ DEC,

=> <DEC = <EDC+<DCE [exterior angle property of ∆]

Therefore,

=> <EDC = <BEC - <DCE

=> 180°-70°

=> 110°

Therefore,

=> <BDC = 110°

Now,

=> <BAC = <BDC [angles in the segment of a circle are equal]

Therefore,

=> <BAC = 110°

Hence,angle BAC = 110°.

Answer 2

Answer:

Here is the answer

Step-by-step explanation:

Hope it helped u