Question

Find < JKL (angle) *

Answer 1

Answer:

• 132°

Step-by-step explanation:

See attached

Given

• JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°

To find

• m∠JKL

Solution

JKLM is a parallelogram and therefore has equal opposite angles:

• ∠JKL = ∠JML and ∠KJM = ∠KLM

Sum of all four is 360°:

• 2m∠JKL + 2m∠KLM = 360°
• m∠JKL + m∠KLM = 180°
• m∠JKL + 48° = 180°
• m∠JKL = 180° - 48°
• m ∠JKL = 132°