Question

∠ and ∠ are a linear pair. If the ∠=2+24 and ∠=4+36, what are ∠ and ∠?

Answer 1

KPL = 64

x = 20

JPL = 116

Explanation:

Linear = 180

2x+24 + 4x+ 36 = 180

Must combine like terms ( 2x and 4x)

6x+60 = 180

Isolate x by subtracting 60

6x = 120

Divide by 6 to simplify

6x/6 = 120/6

x = 20

KPL = 2x+24 = 2*20+24 = 40+24 = 64

JPL = 4x+36 = 4*20 +36 = 80+36 = 116

Answer 2

x = 20

KPL = 64

JPL = 116

Explanation:

A linear pair adds to 180 degrees

2x+24 + 4x+ 36 = 180

Combine like terms

6x+60 = 180

Subtract 60 from each side

6x = 120

Divide by 6

6x/6 = 120/6

x = 20

KPL = 2x+24 = 2*20+24 = 40+24 = 64

JPL = 4x+36 = 4*20 +36 = 80+36 = 116