Name a pair of adjacent supplementary angles. 1: ∠kjl 2: ∠kjm 3: ∠mjn 4: ∠mjp 5: ∠fgh 6: ∠ljm 7: ∠fge 8: ∠njp

Supplementary angles are those that together form strait angle with the measure of 180°.

The first picture doesn't contain supplementary angles, because 41°+124°=165°.

Oh the second diagram you can see three pairs of adjacent suplementary angles:

correct choice is 2 and 3 (this is second pair of adjacent suplementary angles)

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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