Question

Name a pair of adjacent supplementary angles.

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

Answer 1

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)