Question

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

Answer 1

Answer:

The angles are 30°, 60° and 90°.

Step-by-step explanation:

Hint :

• sum of the angles in triangle = 180°.
• The triangle is a right-angled triangle.

Answer:

Let missing angles be $x$, $2x$.

As the triangle is right-angled triangle.

$x + 2x + {90}^{o} = {180}^{o}$

$3x = {180}^{o} - {90}^{o}$

$3x = {90}^{o}$

$x = \frac{90 ^{o} }{3}$

$x = {30}^{o}$

$2x = 30 \times 2 \\ = {60 }^{o}$

Check:

• 30° + 60° + 90° = 180°.

Hope it is helpful....

Answer 2

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

The angles in the triangle are 30°, 60°, 90°

Then the triangle is right angled