The angles in a triangle are in the ratio 2:3:4. Find the size of the smallest angle.
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Given :
Ratio of angle of triangle = 2:3:4
Let the common factor be x Then, ratio are 2x : 3x : 4x
Sum of interior angles of triangle = 180°
So, 2x + 3x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
So, smallest angle = 2x
= 2 × 20°
= 40°