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

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The question tells us the following:

Therefore:

We are also told:

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

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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):

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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:

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a = smallest angle

b = largest angle

c = 3rd angle

So:

30 = smallest angle

90 = largest angle

60 = 3rd angle

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The measure of the angles from smallest to biggest are:

30°,

60°, and

90°

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step-by-step explanation:

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: