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2 years ago

Please help Thank you

Mathematics

1 answer:

san4es73 [151]2 years ago

7 0

Answer:

m ∠JPN = 131°

Step-by-step explanation:

m ∠JPL = m ∠MPK Vertical angles are =

7x + 19 = 11x -17 Substitution

- 4x = -36 Algebra: Solving for x

x = 9 Algebra: Solving for x

m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement

angles = 180°

82° + m ∠LPK = 180° Substitution

m ∠LPK = 98° Algebra

m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem

PN bisects ∠LPK Given

m ∠LPN = m ∠NPK Definition of angle bisector

98 ° = 2 ( m ∠LPN) Substitution

m ∠LPN = 49° Algebra

m ∠JPN = m ∠JPL + m ∠LPN Angle Addition

m ∠JPN = 82° + 49° Substitution

m ∠JPN = 131° Addition

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