Question

two angles are in the ratio 3 : 2 if there are linear pair find the value of each angle​

Answer 1

Answer:

∠X = 108° and ∠Y = 72°

Step-by-step explanation:

let the two angles be ∠x and ∠y

Since the two angles are linear pair.

Hence,

           ∠x + ∠y = 180°

As per question

∠x = 3x and ∠y = 2x

∴ 3x + 2x = 180

⇒ 5x = 180

⇒ x = 36°

∴ ∠X = 108° and ∠Y = 72°

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Answer 2

Answer :

›»› The value of each angle is 108° and 72°.

Given :

• Two angles are in the ratio 3 : 2.
• Theere are linear pair.

To find :

• The value of each angle = ?

Solution :

Let us assume that, the two angles are 3x and 2x respectively.

As we know that

The sum of two angles in linear pair is 180°.

→ 3x + 2x = 180

→ 5x = 180

→ x = 180 ÷ 5

→ x = 36

Therefore,

The two amgles are,

• 3x = 3 * 36 = 108°.
• 2x = 2 * 36 = 72°.

Hence, the value of each angle is 108° and 72°.

Verification :

The sum of two angles in linear pair is 180°.

→ 108 + 72 = 180

→ 180 = 180

Here, LHS = RHS

Hence Verified !