Question

The angles of a triangle are in the ratio 1:2:3 . Find the angles​

Answer 1

Answer:

The total sum of all the angles of a triangle is 180 degrees

We can take the angles which are in the ration of 1;2;3 as 1x, 2x and 3x

1x+2x+3x= 180

6x= 180

x= 180/6

x= 30

so the angles are 30, 60 and 90

Answer 2

Let Angle 1 be x

And Angle 2 be 2x

And Angle 3 be 3x

ATQ,

Angle 1 + Angle 2 + Angle 3 = 180 ( According to Angle Sum Property of Triangle )

$x + 2x + 3x = 180 \\ 6x = 180 \\ x = \frac{180}{6} \: = 30 \\ \\ x = 30$

Angle 1 = 30°

Angle 2 = 2x = 2* 30 = 60°

Angle 3 = 3x = 3* 30 = 90°

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