Question

the first angle of triangle is twice the smallest angle and the third angle 72 degrees more than the smallest angle find the third angle

Answer 1

let the smallest angle be X.

other angle = 2x

third angle = 72 + x

By angle sum property ---

sum of all angles = 180

X + 2x + 72 + X = 180

4x = 180 - 72

X = 108 / 4

X = 27 Degree
third angle= 72 + x = 72 + 27 = 99 ans.

Answer 2

let the smallest be x and first angle be y and third angle be z
according to 1st condition
y=2x
according to 2nd condition
z=x+72

in a triangle sum of all angles is 180
x+y+z=180
x+2x+x+72=180
4x=180-72
x=108/4
x=27

the third angle is x+72=27+72=99°