Question

One of the two supplementary angles is 1/3 the measure of the other. Find the angles.

Answer 1

Answer:

45 and 135

Step-by-step explanation:

If angles, with measurements a and b, are supplementary, then a and b have sum 180 degrees.

So we have the following equation so far:

a+b=180

Now we also have that one angle has a measurement that is 1/3 the value of the one.

So we also have 3a=b which means we are letting the angle whose measurement be a have 1/3 the value of b.

So lets plug the second equation into first giving us:

a+3a=180

Add like terms:

4a=180

Divide both sides by 4:

a=180/4

a=45

So b=3a=3(45)=135.

So the angles in question have measurement s 45 and 135.