Question

if one angle of a triangle is 90 degree and other two angles are in ratio 1 ratio 2 find the angles

Answer 1

Let
ABC
RIGHT ANGLE AT B = 90
A:B = 1:2
A = x
B = 2x
A + B + C = 180 ( ANGLE SUM PROPERTY OF TRIANGLE)
x +90+2x =180
3x =180-90
x = 90/3
x = 30
2x = 2* 30
= 60

Answer 2

As we know that

A triangle has 3 sides and 3 angle

and sum of all angles are 180°

Now,

let the angle be x

1x and 2x

$1x + 2x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ x = \frac{90}{3} \\ x = 30$
Put the value of x

$1x = 1 \times 30 = 30 \\ \\ 2x = 2 \times 30 = 60$

So, the angles of triangle are 90° , 60° , 30° .