The interior angles of a triangle have a ratio of 2:3:5 2 : 3 : 5. what is the measure of the largest interior angle of the triangle

Question

Mathematics

Olive Costa

25 July, 06:34

The interior angles of a triangle have a ratio of 2:3:5 2 : 3 : 5. what is the measure of the largest interior angle of the triangle

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Jessica Wood · Answer 1

Ratio = 2 : 3 : 5

Hence, the interior angles of the triangles are 2x, 3x and 5x.

We know, the sum of the interior angles of are triangle is 180°.

2x + 3x + 5x = 180

10x = 180

x = 18

Hence, the angles are 36°, 54°, 90°.

Hence, the measure of the largest interior angle is 90°.