Question

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The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

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Answer 1

⛦Hello!⛦

The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

Solution:━━━━━━━━━★

Here, the angles of the triangle are in the ratio 1 : 2 : 3.

Let the angles of the triangle be x° , 2x° & 3x°.

Now,

x° + 2x° + 3x° = 180° [°•° Sum Of triangle is 180°]

⇒ 6x° = 180°

⇒ x° = 180°/x

⇒ x° = 30°

Hence,

The 1st angle of the triangle = x° = 30°

The 2nd angle of the triangle = 2x° = 2 × 30° = 60°

The 3rd angle of the triangle = 3x° = 3 × 30° = 90°

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Siddharth1985◆━━━━━━◆❃◆━━━━━━◆

Answer 2

$\sf{Here's \: the \: answer :) \: !}$

________________________❤️

$\bf{Given :-}$

Angles of triangle are in the ratio => 1 : 2 : 3

$\bf{To \: find :-}$

Measure of each angle = ?

$\bf{Solution :-}$

Let the common multiple be 'x'

Now,

We know that ,

Sum of measure of all angles of triangle is 180°

Hence,

As per your question ,

1x + 2x + 3x = 180°

6x = 180°

X = 30°

Hence,

X = 30°

2x = 2 × 30° = 60°

3x = 3 × 30° = 90°

Hence,

Angles are 30° , 60° , 90°

This triangle is 30°-60°-90° ∆

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Thanks !