Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

Answer:

∠ KLJ = 108° , ∠ JLM = 72°

Step-by-step 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°