An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40 degrees. The measure of the other interior angles are in the ratio 3 : 5. What are the measures of the other interior angles?

Question

Mathematics

Abbie Jensen

1 April, 10:58

An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40 degrees. The measure of the other interior angles are in the ratio 3 : 5. What are the measures of the other interior angles?

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Answers (1)

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Emanuel Rojas · Answer 1

52.5 degrees and 82.5 degrees

Step-by-step explanation:

In this question, we want to calculate the measures of the other interior angle of a triangle given those ratio

Mathematically, the total angle present in a triangle is 180 degrees. we have the value of one of the angles, this means that the other two will sum up to be 180 - 40 = 140 degrees

Now we know that the remaining two angles are in the ratio 3:5; we shall now split these into two based on their ratios.

That would be 3/8 * 140 and 5/8 * 140

3/8 * 140 = 3 * 17.5 = 52.5

5/8 * 140 = 5 * 17.5 = 87.5