Answer:
see explanation
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