Answer :
Let the three angles of the triangle be represented by 2x, 2x, and 8x.
2x + 2x + 8x = 180
x = 15 and 2x = 30.
The angles of the triangle are 30, 30, and 120.
The smallest angle has measure 30.
Note that 30:30:120 is equivalent to the given ration 2:2:8
We know that the ratio is;
[tex]2:2:8[/tex]
The angles in a triangle add up to give 180°
We can think of there being twelve "parts" that add up to 180°
[tex]2x + 2x + 8x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15 [/tex]
So our ratio is;
[tex]2*15 : 2*15 : 8*15 \\ \\ = 30 : 30 :120[/tex]
So the smallest angle is 30°
[tex]2:2:8[/tex]
The angles in a triangle add up to give 180°
We can think of there being twelve "parts" that add up to 180°
[tex]2x + 2x + 8x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15 [/tex]
So our ratio is;
[tex]2*15 : 2*15 : 8*15 \\ \\ = 30 : 30 :120[/tex]
So the smallest angle is 30°
