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Name a pair of adjacent supplementary angles.

1: ∠KJL
2: ∠KJM
3: ∠MJN
4: ∠MJP
5: ∠FGH
6: ∠LJM
7: ∠FGE
8: ∠NJP

Name a pair of adjacent supplementary angles. 1: ∠KJL 2: ∠KJM 3: ∠MJN 4: ∠MJP 5: ∠FGH-example-1

1 Answer

3 votes

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:

  • ∠KJL and ∠LJN, because m∠KJL=90° (it is right angle) and m∠LJN=56°+34°=90°, then m∠KJL+m∠LJN=90°+90°=180°.
  • ∠KJM and ∠MJN, because m∠MJN=34° and m∠KJM=90°+56°=146°, then m∠KJM+m∠MJN=34°+146°=180°.
  • ∠NJP and ∠PJK, because m∠NJP=49° and m∠PJK=360°-49°-34°-56°-90°=131°, then m∠NJP+m∠PJK=49°+131°=180°/

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

User Zeeshan Ahmad II
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