Question

If in triangle DEF the greatest angle in the twice and the smallest and the third angle is 20degree more than smallest What are the angles?​

Answer 1

let, the middle angle=x

greatest angle=20°+2x

smallest angle= 40°

sum of all angles of a triangle=180°

40°+20°+2x+x = 180°

60° + 3x = 180°

3x = 120°

x = 40°

largest angle=20°+2×40°

=20°+80°=100°

middle angle=40°

So, angles are 40°,40°,100°

Answer 2

Answer:

Smallest angle = 40 degree

Greatest angle = 80 degree

Third angle = 60 degree

I hope this is the answer.

Step-by-step explanation:

suppose y= smallest angle

x = 2y------(1)

z = y+20-----(2)

now, x+y+z = 180 {Sum of all angles of a triangle is 180 degrees)

From 1 and 2, 2y+y+y+20 = 180

4y =160

y =40 degrees

x = 2 × 40 = 80 degrees

z = 40 + 20 = 60 degrees