Question

suppose you know that two angles,angle A and B,are supplementary.The measure of angle A is 5 times the measure of angle B. Find the measures of angles.??

Answer 1

First of all let's review some vocabulary:
Supplementary : a fancy word that means "the angles add up to 180" .
If we know that the total is 180 , then the values of A and B are .......
Let's set up an equation :
5x + x = 180
5x symbolizes "The measure of angle A is 5 times "
X symbolizes "the measure of angle B"
And 180 "the total"
Now we solve the equation
5x+x=180
6x=180
6x/6 =180/6
X=30
We just found the measure of angle B , now let's find A.
So the measure if angle A is 5 times the measure of angle B . We already know the measure of angle B , so we just multiply 30 by 5.
30 times 5=150
Angle A=150
Angle B=30
Let's check the answers
150 + 30 = 180
They add up to 180 , which means they are correct .

Answer 2

Angle A is 150
Angle B is 30 
Supplementary= 180, so....
Angle A + Angle B = 180
150 + 30= 180

hope this helps