Question

if x and 4x are supplementary angles then find the valur of x​

Answer 1

Answer:

$\huge\underline\red{36°}$

...............

Step-by-step explanation:

Solution :-

As we all know that, Sum of supplementary angle is always 180° .....

Therefore,

Sum of all two angles x and 4x is

180° ......

Hence,

The equation formed will be as follows :-

x + 4x = 180°

=> 5x = 180°

x = 180° ÷ 5

x => 36°

So,

x = 36° ...

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Answer 2

The value of x = 36°

Given :

x and 4x are supplementary angles

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that x and 4x are supplementary angles

We know that two angles are said to be supplementary if sum of the angles = 180°

So by the given condition

x + 4x = 180°

Step 2 of 2 :

Find the value of x

x + 4x = 180°

⇒ 5x = 180°

⇒ x = 180°/5

⇒ x = 36°

Hence the required value of x = 36°

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