Question

Please anyone help me The measure of an angle is five times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

150 and 30

Step-by-step explanation:

Hello!

Supplementary angles are angles that when added up equal 180

Which can be shown by

x + x = 180

Since one has to be 5 times bigger we put a 5 in front of one of the x's

5x + x = 180

5x is an angle and x is the other

Now we solve for x

5x + x = 180

Combine like terms

6x = 180

Divide by 6

x = 30

Now we put that into each angle

5(30) = 150

30

The answer is 150 and 30

Hope this Helps!

Answer 2

Hello!

Answer:

Each angle; the answer is 30 & 150

Step-by-step explanation:

So let say that the supplement is ‘X’.... You want to find the angle of 5x

Therefore, 6x=180 (X=30)

Since we found out one angle out which is 30.

Now you find 5x.

5x30 and you will get 150.

So the angles of each is “30” and “150”.

Hope this helps!

By, Cherry