Explain angle sum property of triangle with an example in detail. As I can't understand anything about angle sum property..
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Answered by
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The sum of the interior angles (a,b,c) of a triangle is 180°.
a+b+c=180°
a+b+c=180°
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Answered by
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The sum of all angles in a triangle is 180°. We make use of this for the angle sum property.
Since the sum of all angles is 180°,
a+b+c= 180 (let a,b and c be the angles of a triangle)
similarly,
if we want to find angle c, we can take the other angles on the other side by transposition. So,
c= 180- a - b
This helps us to find the missing angle.
This is the angle sum property of triangles.
Example:-
1. in a triangle abc angle bac = 50° and angle acb= 70°. find angle abc.
solution:- angle bac + angle + acb + angle abc = 180
angle abc = 180- angle bac - angle acb
= 180 - 50 -70
=60°
∴ angle abc is 60°
----- hope it helped
Since the sum of all angles is 180°,
a+b+c= 180 (let a,b and c be the angles of a triangle)
similarly,
if we want to find angle c, we can take the other angles on the other side by transposition. So,
c= 180- a - b
This helps us to find the missing angle.
This is the angle sum property of triangles.
Example:-
1. in a triangle abc angle bac = 50° and angle acb= 70°. find angle abc.
solution:- angle bac + angle + acb + angle abc = 180
angle abc = 180- angle bac - angle acb
= 180 - 50 -70
=60°
∴ angle abc is 60°
----- hope it helped
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