Respuesta :

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