Question

the angles of triangle are in ratio 1:2;3 find the angles

Answer 1

Answer:

Let the ratios be 1x:2x:3x

Sum of angles of triangle = 180°

1x + 2x + 3x = 180°

6x = 180°

$x = \frac{180}{6}$

x = 30°

So, 1x = 1 × 30 = 30°

2x = 2 × 30 = 60°

3x = 3 × 30 = 90°

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Answer 2

Let's

• 1st angle = x
• 2nd angle = 2x
• 3rd angle = 3x

Sum of angle in triangle = 180°

$\bf x + 2x + 3x = 180 \\ \\ \bf 6x = 180 \\ \\ \bf x = \frac{180}{6} \\ \\ \bf x = 30 \degree \\ \\ \boxed{ \bf \angle1 = 30 \degree }\\ \\ \boxed{ \bf \angle2 = 60 \degree} \\ \\ \boxed{ \bf \angle3 = 90 \degree }$