Arnav's awesome angle

Geometry Level 1

If the ratio of angles in a triangle is 2 : 3 : 4 2:3:4 , what is the measure (in degrees) of the smallest angle of the triangle?

This problem is posed by Arnav R .


The answer is 40.

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1 solution

Syed Hamza Khalid
Apr 22, 2017

This is simple

Steps

1.Add the ratios which is 2 + 3 + 4 2+3+4

2.Then divide it from 180 180

3.So 180 9 = 20 \frac{180}{9}=20

4.The smallest angle is in the ratio of 2.

  1. So 20 2 20*2

  2. Which equals to

= 40 ° =40°

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