Respuesta :

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°.

adioabiola

We are required to find the measure of all the angles given the ratios

The measures of the three angles in a triangle is 84°, 30° and 66° respectively.

The ratios are:

Angle A = 14

Angle A = 14Angle B = 5

Angle A = 14Angle B = 5Angle C = 11

Total ratio = 14 + 5 + 11

= 30

The total angle in a triangle = 180°

So,

Angle A

= 14 / 30 × 180°

= 0.4666666666666 × 180°

= 84°

Angle B

= 5/30 × 180°

= 0.1666666666666 × 180°

= 30°

Angle C

= 11/30 × 180°

= 0.3666666666666 × 180°

= 66°

Therefore, the measures of the three angles in a triangle is 84°, 30° and 66° respectively.

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