andrew0847 andrew0847
  • 19-11-2020
  • SAT
contestada

What is the measure of kpn

Respuesta :

farnelxd
farnelxd farnelxd
  • 21-11-2020

Answer:

50

Explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

Answer Link

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