Question

two angle are supplementary to each other and 1 of them is 4 times of other find them​

Answer 1

$\LARGE\mathfrak\pink{answer}$

• As we know that supplementary means when the 2 angles are added we get 180°
• Here, we don't the values so we will put them as ' x '
• Here, the have put that the first angle is 4 times the other angle. So the equation will be:

$\mapsto$ 4x + x = 180°

$\mapsto$ ( 4x + x ) = 180°

$\mapsto$ 5x = 180°

$\mapsto$ x = $\large\dfrac{180}{5}$

$\mapsto$ x = 36

• So we got that one angle is 36.
• Now, the other angle :

$\mapsto$ 36 + x = 180°

$\mapsto$ x = 180 - 36

$\mapsto$ x = 144

So, The first angle is $\large\sf\underline{144°}$ and the second angle is $\large\sf\underline{36°}$

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Verification:

So, as the question says that one angle is 4 times the other.

So, 36 × 4 = 144

Now, we will see if they are supplementary angles.

• As we know that supplementary angles those when add we get 180°

So,

144° + 36° = 180°

$\large\mathrm{Hence\:Verified}$✔

Answer 2

Answer:

Supplementary means that the two angle will have a sum of 180⁰.

Let the first angle = x⁰.

The second angle is described as 30⁰ more than four times the other, so it will be 4x⁰ + 30⁰.

x⁰ + 4x⁰ + 30⁰ = 180⁰ : Combine like terms

5x⁰ + 30⁰ = 180⁰ : Subtract 30⁰ from both sides

5x⁰ = 150⁰ : Divide both sides by 5

x = 30⁰

This makes the other angle 4•30⁰ + 30⁰, or 150⁰.

And 30⁰ + 150⁰ = 180⁰.

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Verification:

So, as the question says that one angle is 4 times the other.

So, 36 × 4 = 144

Now, we will see if they are supplementary angles.

As we know that supplementary angles those when add we get 180°

So,

144° + 36° = 180°