Question

The acute angles of a right triangle are in the ratio 1: 2. Find the angles of the triangle

Answer 1

Step-by-step explanation:

let the common ratio be x

so

1x + 2x + 90 = 180

so 3x = 90

so x = 30 degrees

1st angle = 30 degrees

2nd angle = 2*30 = 60 degrees

Answer 2

Answer:

ANGLES= 90°, 30° , 60°

Step-by-step explanation:

acute angles ratio= 1:2

let acute angles be 1x , 2x                            (by multiplying x to both)

ANGLE SUM PROPERTY=> 90°+ 1x°+ 2x°=180°

                                        =>90° +3x°=180°

                                        =>3x = 180-90

                                        =>3x = 90

                                        =>x = 90/3

                                        =>x=30

∴Angles of the right angled triangle =>90°

                                                            =>1x = 1×30=30°

                                                           =>2x = 2×30=60°