Question

In a linear pair one angle is 3 times of the other angle. what will be the measures of 2 angles?​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

• in a linear pair one angle is 3 times of the other

To Find :-

• find the measure of two angles ?

Solution :-

let one angle be x

then other angle = 3x

and we know that,

sum of angle of linear pair is 180°

$\bold{: \implies x + 3x = 180 \degree } \\ \\ \bold{: \implies 4x = 180 \degree } \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{180 \degree}{4} } \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 45 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, one angle is of 45°

and other angle = 45 × 3 = 135°

hence, angles are ;

• 45° and 135°