Question

4) The three angles of a triangle are in the ratio 1:2:3. Find the measure of all the angles of the triangle



​

Answer 1

Answer:

30°, 60° and 90°.

Step-by-step explanation:

Let the three angles of the triangle be x, 2x and 3x

Now, we know that the sum of three angles of a triangle is 180°

Therefore, x + 2x + 3x = 180°

》6x = 180°

》x = 180°/6

》x = 30°

Since, the three angles are x, 2x and 3x

Therefore, the three angles are 30°, 2 × 30° and 3 × 30°.

》30°, 60° and 90°.