Respuesta :

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.