Question

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

Answer 1

Answer:

The measure of all the angle are 84°, 30° and 66°.

Step-by-step explanation:

Consider the provided information.

The ratio of the measures of the three angles in a triangle is 14:5:11.

The sum of all the angles of a triangle is 180°.

Let the angle are 14x, 5x and 11x.

Thus, the sum of the angle are 180°

14x+5x+11x=180°

30x=180°

x=6

Thus, the angle are:

14×6=84°

5×6=30°

11×6=66°

Hence, the measure of all the angle are 84°, 30° and 66°.

Answer 2

Hey there,

Answer:
Angle sum in triangle = 180 °

14 : 5: 11
Total units = 30u
30 units = 180°
1 unit = 180° / 30
          = 6°
14 units = 6 x 14
              =84°
5 units = 6 x 5
            = 30°
11 units = 11 x 5
             = 55°

Hope this helps :D

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