Question

⦟KLJ and ⦟JLM are a linear pair. Find the measures of ⦟KLJ and ⦟JLM.

m⦟KJL = __°
m⦟JLM = __°

Pic:

Answer 1

∠ KLJ = 108° , ∠ JLM = 72°

Explanation:

Since the angles are a linear pair they sum to 180° , then

6x + 12 + 4x + 8 = 180

10x + 20 = 180 ( subtract 20 from both sides )

10x = 160 ( divide both sides by 10 )

x = 16

Then

∠ KLJ = 6x + 12 = 6(16) + 12 = 96 + 12 = 108°

∠ JLM = 4x + 8 = 4(16) + 8 = 64 + 8 = 72°

Answer 2

Explanation:

6x + 12 + 4x + 8 = 180 {Linear pair}

6x + 4x + 12 + 8 = 180 {Combine like terms}

10x + 20 = 180 {Subtract 20 from both sides}

10x = 180 - 20

10x = 160 {Divide both sides by 10}

x = 160/10

x = 16

m∠KLJ = 6*16 + 12

= 96 +12

= 108

m∠JLM = 4*16 + 8

= 64 + 8

= 72