Question

the angles of a triangle are in the ratio 1 : 2 : 3. find the angles​

Answer 1

Answer:

We are given that the angles of a triangle are in the ratio 1:2:3. Let us assume that the angles of a triangle are x, 2x and 3x. We know the angle sum property of the triangle that the sum of the angles of the triangle is 180∘. Thus, the three angles are 30∘, 60∘ and 90∘.

Step-by-step explanation:

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Answer 2

The angles of triangle are in the ratio 1 : 2 : 3

$1x + 2x + 3x = 180 \degree \\ 6x = 180 \degree \\ x = \frac{180 \degree}{6} \\ \\ x = 30 \degree$

$x = 30 \degree \\ 2x = 2 \times 30 \degree = 60 \degree \\ 3x = 3 \times 30 \degree = 90 \degree$