josselin22
josselin22 josselin22
  • 10-05-2020
  • Mathematics
contestada

Can anyone help me !!!! with the explanation on how to find the measure of the arc indicated

Can anyone help me with the explanation on how to find the measure of the arc indicated class=

Respuesta :

jimrgrant1 jimrgrant1
  • 10-05-2020

Answer:

see explanation

Step-by-step explanation:

(4)

arc XY is twice the inscribed angle YWX, thus

XY = 2 × 37° = 74°

The sum of the 3 arcs on the circle = 360°, thus

WY = 360° - (135 + 74)° = 360° - 209° = 151°

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(6)

arc QL = 2(3x + 23) = 6x + 46

QL + LK + KQ = 360, substitute values

6x + 46 + 9x - 6 + 140 = 360

15x + 180 = 360 ( subtract 180 from both sides )

15x = 180 ( divide both sides by 15 )

x = 12

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