The angles of a triangle are in the ratio 7:5:3. What are the measurements of the angles?

Question

Sage Hartman

Mathematics

8 March, 02:33

The angles of a triangle are in the ratio 7:5:3. What are the measurements of the angles?

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Linnea · Answer 1

The interior angles of a triangle must add up to 180 eighty degrees.

Since the ratio is 7:5:3, let's say that the three angles have degrees 7x, 5x, and 3x

7x+5x+3x = 15x = 180

-> x = 12

Therefore, the three angles are 7*12=84, 5*12=60, 3*12=36 degrees.