Question

The three angle of a triangle are in the ratio 1:2:1 find all the angle of the triangle

Answer 1

Answer:

45,90,45

Step-by-step explanation:

let the angles be x,2x,x as they are in ratio 1:2:1

sum of the interior angles of a triangle is 180

so,

x+2x+x=180

4x=180

x=180/4

x=45

so, the angles are x=45, 2x=90, x=45.

Answer 2

Refer To Attachment

Sum of All Angles of ∆=180°

Ratio=1:2:1

Let 1st Angle=X

Let 2nd Angle=2x

Let Third Angle=X

X+2x+X=180

4x=180

X=180/4

X=45

$\boxed{\mathbf{1st\:Angle=45°}}$

$\boxed{\mathbf{2nd\:Angle=90°}}$

$\boxed{\mathbf{3rd\:Angle=45°}}$