Question

Verify that the sum of the angles of a triangle is 180 degree

Answer 1

Answer:

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Answer 2

Solution :-

$\sf{\angle 3 + \angle 4 + \angle 5 = 180 \textdegree (Linear\ Pair\ of\ angles) ..(1)}$

$\sf{ \angle 4 = \angle 1 \ (Alternate\ angles)}$

$\sf{ \angle 5 = \angle 2 \ (Alternate\ angles)}$

From eq (1) ;

$\sf{\angle 1 + \angle 2 + \angle 3 = 180 \textdegree}$

$\sf{\angle A + \angle B + \angle C = 180 \textdegree}$

Hence, it is proved that sum of angles of a triangle is 180°.

Extra Info About Triangle :-

Triangle has 3 sides. It has 3 angles. The sum of angles of triangle is always be 180°. There are 3 types of triangle :-

• Equilateral Triangle (All sides are equal)

• Isosceles Triangle (Two of three sides are equal)

• Scalene Triangle (No side is equal)