Answer:
z = 80 , x = 27
Explanation:
2
the inscribed angle QRS is half the measure of the arc QS that subtends it, then
QS = 2 × 50° = 100°
QR is the diameter of the circle , then arc QR = 180°
the sum of the arcs on a circle = 360° , so
z = 360 - QS - QR = 360 - 100 - 180 = 80
3
given 2 intersecting chords in a circle then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, then
20x = 18 × 30 = 540 ( divide both sides by 20 )
x = 27