in figure A,B,C and D are four points on a circle AC and BD intersect at point E such that <BEC = 130° and <ECD = 20° find <BAC
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Angle BEC +Angle DEC=180 degree (linear pair
of angle)
130 degree +Angle DEC=180degree
Angle DEC=180-130 degree
Angle DEC =50 degree
Now, in DEC
Angle (DEC+ECD+CDE)=180 degree (angle sum property of triangle)
50 +20+Anngle CDE =180
70+Angle CDE=180
angle CDE=180-70
angle CDE=110 degree
By theorem of circle..!!
angle BAC=angle CDE
angle BAC=110 degree... Hey mate hope this helps you and please mark me as a brainlisst...!!!
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