Question

sum of all interior angle of a triangle is (a) 60. (b) 380. (c) 180​

Answer 1

Answer:

180 (c)

Step-by-step explanation:

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Answer 2

Answer:

Option C: 180°

Proof

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){ \bf A }\put(0.5,-0.3){ \bf C }\put(5.2,-0.3){ \bf B }\end{picture}$

→ In the triangle, there are three angles - A, B and C.

→ If we cut these three angles and arrange them near to each other, we get a semi-circle.

→ Measure of a semi-circle = 180°

∴ The sum of all the angles of a triangle is 180°

Knowledge Bytes:

→ Angle Sum Property of a Triangle

According to the angle sum property the sum of all the interior angles of a triangle, irrespective of what kind of triangle it is, will always be 180°.

→ Classification of Triangles on basis of angle measure

✳ Equilateral triangle - All the angles have an equal measure of 60°.

✳ Right angled triangle - One angle would measure 90° and the other angles would be acute in nature.

✳ Obtuse triangle - One angle would measure more than 90° and the other angles would be acute.