Question

In a rt. angled triangle two acute angles are in the ratio of 1:2. The measure of the smaller angles is

60
90
30
None​

Answer 1

Answer:

30

Step-by-step explanation:

the sum of angles in a rt angled triangle is 90

so

1x+2x= 90

3x=90

x=30

so the angles are

1x=1*30=30

2x=2*30=60

the smaller angle is 30

Answer 2

Step-by-step explanation:

let the angles smaller angle in the right angle triangle be x so the other acute angle is 2x

and we know the sum of all angles in a triangle is 180°

so 90°+x+2x=180°

=>90+3x=180

=>3x=180+90

=>x=90/3

=>x=30°

hence the measure of the smallest angle in the acute right angle triangle is 30°