Question

if one angle of a triangle is 60° and the other two angles are the ratio 1:2 find all the angles of a triangle​

Answer 1

Answer:60 degrees, 40 degrees, 80 degrees

Step-by-step explanation:

Ratio= 1:2= x:2x

One angle= 60 degree

So x value:

x+2x+60=180  [angle sum of triangle=180 degrees]

3x+60=180

3x=180-60

3x=120

x=120/3

x=40 degrees

So, all angles values:

1st angle= 60 degrees

2nd angle value= x= 40 degrees

3rd angle value= 2x=2*40=80 degrees

Answer 2

Answer:

given angle A = 60degree

let angle B= 1x and angle C = 2x

now angle sum property of triangle

angle A+ angleB+ angleC = 180 degree

1x+ 2x + 60 = 180

3x +60 =180 ----- 3x = 180 -60

3x= 120 ------ x = 120/3 = 40

Now, 1x=1 x 40=40degree

and 2x =2 x 40 = 80degree