For Geometry, thank you!

Step-by-step explanation:

AB // CD and E F is transversal

∠  E FA = ∠F ED     {alternate interior angles}

∠E FA = x

In Δ AG F,

∠G FA + ∠F AG +∠AG F = 180   {angle sum property of triangle}

x  + 2 x + 3 x = 180         {Combine like terms}

               6 x = 180        {divide both sides by 6}

                x = 180/6

x = 30

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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