Question

Find the angles of a right triangle in the ratio 1:2:6.

Answer 1

Let Angle 1 be x

And Angle 2 be 2x

And Angle 3 be 6x

ATQ,

x + 2x + 6x = 180 ( Angle Sum Property of Triangle )

9x = 180

$x = \frac{180}{9} \\ \\ = 20$

Angle 1 = 20°

Angle 2 = 2x = 2*20 = 40°

Angle 3 = 6x = 6*20 = 120°

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