Question

if an angle is 5 times it's supplement how much does each of them measure.
if u answer definately I will mark the brainlist ​

Answer 1

Answer:

30

Step-by-step explanation:

Answers

Related Questions

The measure of an angle which is 5 times its supplement is

A 30∘30∘

B 60∘60∘

C 120∘120∘

D 150∘150∘



Answer

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Hint: In this question, we have been given that we need to find out the angle which is 5 times its supplement. So firstly, we know the supplement means the sum of the angle is 180∘180∘. So, to solve this question we will let the angle be any variable let suppose we take the angle equals to x. Then we have given that 5 times this angle is equal to its supplement that is 180∘180∘. So accordingly, we will form the equation by adding the two angles which are x and 5x5x solve it further.

Complete step-by-step solution:

We have been provided that 5 times an angle is equal to its supplement.

So, we will let that the angle is equal to any variable let suppose x.

Now according to the question, we have been given that 5 times this angle is equal to its supplement.

5 times this angle would be equal to 5x5x.

Now in the next step, we will form an equation as this 5 times this angle is equal to its supplement that is 180∘180∘.





So, the equation would be x+5x=180∘x+5x=180∘.

Now we will be solving the equation further,

Now the equation will be: 6x=180∘6x=180∘.

Now we will solve the equation by separating the constant and variable,

So, the simplified equation is x=180∘6x=180∘6.

From this simplified equation we can find the value of x,

So, the value of x comes out to be 30∘30∘

So, we can conclude that as x=30∘

Answer 2

Answer:

30, 150

Step-by-step explanation:

Let smaller angle be x

Supplement of x=180-x

It is given 5x=180-x

=>6x=180

=>x=30

Angles= 30, 5*30=150