KyWy
KyWy KyWy
  • 02-10-2019
  • Mathematics
contestada

Given OL and ON m PLEASE HELP !!!

Given OL and ON m PLEASE HELP class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2019

Answer:

∠MON = 57°

Step-by-step explanation:

Given that OL and ON are perpendicular lines then ∠LON = 90° and

∠LOM + ∠MON = 90, substitute values

3x - 15 + 5x - 23 = 90, that is

8x - 38 = 90 ( add 38 to both sides )

8x = 128 ( divide both sides by 8 )

x = 16

Hence

∠MON = 5x - 23 = (5 × 16) - 23 = 80 - 23 = 57°

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