Question

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

Answer 1

Question:-

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

Answer:-

• The angles are 108° and 72°.

Solution:-

• Ratio of angles = 3:2

Put x in the ratio

• first angle = 3x
• Second angle = 2x

• Sum of angles = 180°(Linear pair)

$\large{ : \implies \: 3x + 2x = 180}$

$\large{ : \implies \: 5x = 180}$

$\large{ : \implies \: x = \frac{180}{5} }$

$\large{ : \implies \: x = 36}$

• The value of x is 36°

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• First angle = 3x = 3×36 = 108°
• Second angle = 2x = 2×36 = 72°

____________________

The angles are 108° and 72°.

Answer 2

Given

• Two angles are in the ratio 3:2.
• They are linear pairs.

To find

• Value of each angle.

Solution

• Let the ratio be x.

$\sf\pink{⟶}$ In linear pair, sum of two angles is 180°.

We have,

• First angle = 3x
• Second angle = 2x

According to the question

$\tt:\implies\: \: \: \: \: \: \: \: {3x + 2x = 180}$

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$\tt:\implies\: \: \: \: \: \: \: \: {5x = 180}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{180}{5}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = 36}$

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$\sf\pink{⟶}$ Now, we can find both the angle by putting the value of x.

⠀

• First angle = 3 × 36 = 108°
• Second angle = 2 × 36 = 72°

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