The ratio of the meausures of three angles in a triangle is 14:5:11. Find the measure of the angles. Show all work.

84, 30 and 66 degrees

Step-by-step explanation:

The ratio of the meausures of three angles in a triangle is 14:5:11. Find the measure of the angles. Show all work.

Total ratio = 14+5+11 = 30

Remember sum of angles in a triangle = 180 degree.

Therefore,

Each angle = ratio of angle / total ratio × 180

1st angle = 14/ 30 × 180

= 14 × 6

= 84 degrees

2nd angle = 5 / 30 × 180

= 5 × 6

= 30 degrees

3rd angle = 11/ 30 × 180

= 11 × 6

= 66 degrees

Therefore the angles are 84, 30 and 66 degrees

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step-by-step explanation:

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