Question

The ratio of the angles in a triangle is 3:10:7 what is the measure of the smallest angle? Step by step please!

Answer 1

Answer: 27

Step-by-step explanation: Every triangle has 180 degrees, if you add 3+10+7 you get 20, the ratio total is 20 and the total degrees is 180, divide 180 by 20 and you get 9, 9 x 3 (3 is the smallest of the ratios) = 27 degrees.

Answer 2

The measure of the smallest angle is found by adding the parts of the ratio, dividing the total degrees in a triangle by this amount to find degrees per part, then multiplying this by the smallest part of the ratio. The smallest angle measures 27 degrees.

Step-by-step explanation:

To find the measure of the smallest angle, we first need to know that the sum of the angles in a triangle is always 180 degrees.

We then add together the three parts of the ratio, 3 + 10 + 7, which gives us 20 parts total.

Next, we divide 180 (the total degrees in a triangle) by 20 (the total number of parts). This gives us 9 degrees per part.

Finally, to find the measure of the smallest angle, we multiply 9 degrees by 3 (since the smallest part of the ratio is 3). The smallest angle, therefore, measures 27 degrees.

Learn more about Angles in a Triangle

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