All 3side of a triangle are produce prove angle 1+angle2+angle3=360
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In triangle ABC
Let exterior angles be 1, 2, 3
So,
angle 1 = angle ( A + B) .. (1)
angle 2 = angle (B+C) ..(2)
angle 3 = angle (A+C) ..(3)
On adding 1,2 and 3
angle (1+2+3) = 2(angle A + angle B+angleC)
angle (1+2+3) = 2 x 180 (By angle sum property of triangle)
angle (1+2+3) = 2 x (2 x 90) = 360°
Let exterior angles be 1, 2, 3
So,
angle 1 = angle ( A + B) .. (1)
angle 2 = angle (B+C) ..(2)
angle 3 = angle (A+C) ..(3)
On adding 1,2 and 3
angle (1+2+3) = 2(angle A + angle B+angleC)
angle (1+2+3) = 2 x 180 (By angle sum property of triangle)
angle (1+2+3) = 2 x (2 x 90) = 360°
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