Question

3. In triangle ABC the measures of the angles have the ratio 3:6:9. What

are the measures of the angles?

Answer 1

• 30°, 60° and 90°

Explanation:

We are given tha in triangle ABC the measures of the angles have the ratio 3:6:9.

Let's assume ∠A be 3x, ∠B be 6x and ∠C be 9x.

According to Angle sum property, the sum of interior three angles of triangle is 180°

3x + 6x + 9x = 180°

18x = 180

x = 180/18

x = 10°

The required angles are :

Angle A

= 3x

= 3 × 10

= 30°

Angle B

= 6x

= 6 × 10

= 60°

Angle C

= 9x

= 9 × 10

= 90

Therefore, the measures of the angles are 30°, 60° and 90°.