# Three angles of tringle 4:5:6, then find the ratio between biggest and smallest angle?

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4 : 5 : 6 : 15

: 180 <-- (sum of angles of triangle)

1st angle = 180×4/15 =48°

2nd angle = 180×5/15 =60°

3rd angle = 180×7/15 = 72°

so you can see the smallest angle is 48° and the biggest one is 72°

so the ratio between them is 48/72 = 2/3

2 : 3

4x+5x+6x=180

15x=180

x=180/15

x=12.

4*12=48°(Smallest angle)

5*12=60°

6*12=72°(Biggest angle)

Ratio=Biggest angle:Smallest angle

=72:48

=2:3