The three angles of a triangles are in the ratio 1 : 3 : 5. How much is each angle?

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Solution

Ratio of the angles of the triangle = 1:3:5

We know that the sum of the angles of a triangle is 180°.

Sum of the ratios = 1 + 3 + 5 = 9

Measure of the first angle =

Measure of the second angle

Measure of the third angle =

Thus, the angles of the triangle are 20°, 60° and 100°.

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