Question

8. The angles of a triangle are in the ratio 1:2:3. Find all the angles.

Answer 1

Answer:

Step-by-step explanation:

First off, set the values for each angle. Since all that is known is the ratio in relation to each other, then we will treat them as unknown, so let the angles be equal to:

x, 2x, 3x

Since the angles added together must total 180, we will add the angles together to form an equation.

x+2x+3x=6x=180.

x=30

The angles are therefore 30, 60, and 90

Answer 2

Question:-

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

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Given,

The ratio of angles of a triangle = 1:2:3

Sum of the ratio of angles = 1+2+3 =6

As,we know

The sum of angles of a triangle = 180°

Measure of 1st angle = $\frac{1}{6}\times 180°$ = 30°

Measure of 2nd angle = $\frac{2}{6}\times 180°$= 60°

Measure of 3rd angle = $\frac{3}{6}\times 180°$= 90°

Therefore,

The required angles are 30°,60°and 90°