Hw 17 arcs and chords

Answer:1. 105°2. 85°3. 80°4. 148°5. 116°6. 82°7. 135°8. x = 79. x = 210. x = 111. x = 10Step-by-step explanation:1. Arc WZ = Arc XYArc WZ = 105° Therefore Arc XY = 105°2. Arc SR = Arc TUArc SR = 85° Therefore Arc TU = 85°3. Arc PQ = Arc QRArc PQR = 40° + 40°Arc PQR = 80°4. Arc RT = 64°x = (360° - 64°)/2x = 296°/2x = 148°5. x = 116°If the chords are congruent to each other, then the arcs are also congruent to each other.6. x = 82°If the chords are congruent to each other, then the arcs are also congruent to each other.7. Arc BC = 90°x = (360° - 90°)/2x = 270°/2x = 135°8. 2x + 4 = 182x = 18 - 4[tex]\dfrac{2x}{2}=\dfrac{14}{2}[/tex]x = 79. 2x + 1 = 5x - 52x - 5x = -5 - 1[tex]\dfrac{-3x}{-3} = \dfrac{-6}{-6}[/tex]x = 210. 3x + 16 = 12x + 73x - 12x = 7 - 16[tex]\dfrac{-9x}{-9}=\dfrac{-9}{-9}[/tex]x = 111.  3x - 11 = x + 93x - x = 9 + 11[tex]\dfrac{2x}{2}=\dfrac{20}{2}[/tex]x = 10