Question

angles k and p are supplementary and the measure of k is twice that of p, find both angles in degrees

Answer 1

k = 120

p = 60

Explanation:

k = p2

p+p2 = 180

p3 = 180

p3/3 180/3

p = 60

k = 60 × 2

k = 120

Answer 2

p=60 and k=120

Explanation:

So, with supplementary angles, there is a max of 180 degrees (because it is half of a circle.) With this information, we can make an equation. Let's make it.

If the measure of k is twice of p, then k=2p

Equation= 2p+p=180

Now let's isolate p and find out what it is!

2p+p=3p so...

3p=180

Now let's divide 3 on both sides.

That would equal...

p=60

That means p=60 for sure. However, since k is twice of p, we need to double p to find out what k is.

60 x 2=120

Final answer= p=60 k=120

Hope this helped!! If you have any questions, make sure to write them in the comments!