garretsdumb
garretsdumb garretsdumb
  • 24-04-2020
  • Mathematics
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Determine the value of ∠OMP.

m∠OMP = ______ degrees

Determine the value of OMP mOMP degrees class=

Respuesta :

DeanR
DeanR DeanR
  • 24-04-2020

The angle J formed from the two secants is half the difference of the subtended arcs, J = (1/2) (arc PN - arc KL).

30 = (1/2) (81 - KL)

60 = 81 - KL

KL = 81 - 60 = 21 degrees

The two vertical angles, OMP and KML, add up to the two subtended arcs, KL and OP.  Since the vertical angles are congruent,

2 ∠OMP = 57 + 21 = 78

Answer: ∠OMP = 39 degrees

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