How many degrees is it?

Geometry Level 2

What is the sum of all the angles in the above picture of 3 triangles (in degrees)?

Image credit: illuminations.nctm.org


The answer is 540.

David Pilling by David Pilling , 18, USA

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2 solutions

David Pilling
May 24, 2016

The sum of the angles of each triangle is 180 degrees. So the total is 540 \boxed{540} degrees.

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What about the external angles ??

Ahmed Almubarak - 3 years, 12 months ago

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I don't know.

. . - 3 months, 3 weeks ago
. .
Feb 21, 2021

Each triangle has the sum of its degree angles that 180 180 , and there are 3 triangles to the given pictures, so the answer is 180 × 3 = 540 180 \times 3 = \boxed { 540 } !!!!!!

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