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Geometry Level 1

Mary drew a triangle on the board. What is the sum of all interior angles in a triangle?

9 0 ∘ 90^ \circ 18 0 ∘ 180 ^ \circ 27 0 ∘ 270 ^ \circ 36 0 ∘ 360 ^ \circ

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Calvin Lin by Calvin Lin

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8 solutions

Calvin Lin Staff
Jun 26, 2014

The sum of all interior angles in a triangle is 18 0 ∘ 180 ^ \circ .

13 Helpful 0 Interesting 0 Brilliant 0 Confused

In general, the sum of all interior angles of a n n -gon is ( n − 2 ) × 18 0 ∘ (n-2)\times180^\circ

Joshua Ong - 6 years, 11 months ago

What is the sum of exterior angles in a triangle?

CHERALA MANOHAR - 6 years, 10 months ago

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Sum of all exterior angles should be 360X3 - 180 = 900°

Manisha Garg - 5 years, 6 months ago

sum of exterior angles is 360 degree.

BK Lim - 6 years, 6 months ago

my teacher told me!

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equilateral triangle each angle is 60

sorna lakshmi - 6 years, 9 months ago
Stewart Gordon
May 3, 2015

This isn't really a problem, it's common mathematical knowledge! If we'd been asked to prove the theorem, then that might be a problem.

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the three sides of triangle is 180 degrees each angle is 60 degrees

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Viswesh Shukla
May 24, 2020
  • Given :
  • A triangle ABC.
  • To prove :
  • ∠A+∠B+∠C=180
  • ⟹∠1+∠2+∠3=180
  • Construction :
  • Through A, draw a line l parallel to BC.
  • Proof :
  • Since l ∥ BC. Therefore,
  • ∠2=∠4 .......eq(i)
  • And, ∠3=∠5......eq(ii)
  • adding eq(i)and(ii)
  • Therefore, ∠2+∠3=∠4+∠5
  • ∠1+∠2+∠3=∠1+∠4+∠5 [adding ∠1 both Side]
  • ∠1+∠2+∠3=180
  • Thus, the sum of three angles of a triangle is 180 .
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Sherilynne Ruiz
Sep 25, 2015

In every triangle there is an interior measurement of 180°..

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Kerrinh Hanlon
Aug 22, 2015

The sum of all interior angles in a triangle is 180 degrees, however the sum of all exterior angles is 360 degrees.

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Krishna Garg
Jul 26, 2014

Sum of all three angles of a trianle will be valeways 180 degrees. K.K.GARg,India

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