1. ## largest angle

In the figure above the difference between the largest angle and the smallest angle is how many degree?

A 30
B 60
C 90
D 120
E 180

2. Originally Posted by aznmartinjai

In the figure above the difference between the largest angle and the smallest angle is how many degree?

A 30
B 60
C 90
D 120
E 180

you want the difference between the largest and smallest angle. in other words, you want to find 3x - x = 2x

so find x and we will know the answer.

the angles in a triangle add up to 180 degrees, thus:

x + 2x + 3x = 180

can you find x?

3. The sum of all angles is $\displaystyle 180^{\circ}$

So, $\displaystyle x+2x+3x=180^{\circ}\Rightarrow 6x=180^{\circ}\Rightarrow x=30^{\circ}$

Now, find the angles and the difference.