Question

form a equation to find the angles of a triangle whose angles are in 1:2:3 ratio​

Answer 1

Answer:

Angle 1= 30°, Angle 2= 60°, Angle 3 = 90°

Step-by-step explanation:

Let the angle 1 be 1x or x

Let the angle 2 be 2x

Let the angle 3 be 3x

By using Angle Sum Property

> the sum of three angles of a triangle measures 180°

1x + 2x + 3x = 180

6x = 180

x = 180÷6

x = 30°

Therefore, Angle 1 = x = 30°

Angle 2 = 2x = 2×30 = 60°

Angle 3= 3x= 3x = 3×30 = 90°

Answer 2

Step-by-step explanation:

1. $if \: \\ first \: angle \: = 1x \\ second \: angle = 2x \\ third \: angle \: = 3x \\ \\ 1x + 2x + 3x = 180 \\ 6x = 180 \\ x = 180 /6 \\ answer \: is = 30 \\ \\first \: angle = 1x = 1 \times 30 = 30 \\ second \: angle = \: 2x = 2 \times 30 = 60 \\ third \: angle = \: 3x = 3 \times 30 = 90$