Question

The three angles of a triangle are in the ratio 2:3:4. Find their measures.

Answer 1

$\LARGE\sf\underline{Ąnswer}$

• We know that by angle sum property the 3 angles must measure 180°. Otherwise it will not be a triangle.

Therefore, The measures of the 3 angles =

• First, Take the total part of the given ratios.

= 2 + 3 + 4

= 9

• So, The total part is nine. Now to find the 3 angles look the below steps carefully.

3 angles =

⠀⠀⠀⠀⠀⠀$\Large\frac{2}{9}$ × 180 = 40°

⠀⠀⠀⠀⠀⠀$\Large\frac{3}{9}$ × 180 = 60°

⠀⠀⠀⠀⠀⠀$\Large\frac{4}{9}$ × 180 = 80°

Therefore, The required angles to form the triangle is $\large\tt\underline\pink{40°,60°\:and\:80°}$