The smallest angle in a triangle is
1
3
as large as the largest angle. the third angle is twice the smallest angle. find the three angles.
the measures of the angles from smallest to biggest are
°,
°, and
°.

First, lets assign a letter to each angle:

a = smallest angle

b = largest angle

c = 3rd angle

_____________________________________

The question tells us the following:

Therefore:

We are also told:

_____________________________________

Now lets form three equations by swapping out the angles with the correlating letter:

_______________________________________

Remember, angles in a triangle add up to 180, so we can make another equation:

Now substitute in the values in terms of a, for b and c - and then solve for a.  (to solve the equation, everything has to be in the same terms, which is a in this case):

___________________________________________

Now that we know what a is, we can work out what b and c is, by substituting in the value of a into their equations:

Value for b:

Value for c:

_______________________________________

a = smallest angle

b = largest angle

c = 3rd angle

So:

30 = smallest angle

90 = largest angle

60 = 3rd angle

_________________________________________

The measure of the angles from smallest to biggest are:

30°,

60°, and

90°

_________________________________________

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

450

step-by-step explanation:

you get texts and minutes, so why not