Question

The measures of the angles of a triangle are in the ratio 1:2:3. then the angles are
(a) 30°, 60°, 90°
(b) 45°, 45°, 90°
(c) 60°, 60°, 60°
(d) 50°, 60°,70°​

Answer 1

Answer:

1x+2x+3x=180

6x=180

x=30

1st angle =30

2nd angle=60

3rd angle =90

Answer 2

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Step by step explanation:-

Given :-

Angles of Triangle in ratio 1:2;3

To find :-

Angles in a triangle

Concept to know :-

Sum of angles in a triangle is 180°

Solution:-

Let the angles in triangle be

• x
• 2x
• 3x

We know Sum of angles in triangle is 180°

So,

x + 2x + 3x = 180°

6x = 180°

x = 30°

Finding angles

x = 30°

2x = 2(30°) = 60°

3x = 3(30°) = 90°

Required angles = 30°,60°,90°

Verification:-

We got angles Their sum should be equal to 180°

30° + 60° +90° = 180°

180° = 180°

LHS = RHS

Verified

Hope it helps u

Thank u:)