How do you solve this?
1 answer:
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Answer:
1. 105°
2. 85°
3. 80°
4. 148°
5. 116°
6. 82°
7. 135°
8. x = 7
9. x = 2
10. x = 1
11. x = 10
Step-by-step explanation:
1. Arc WZ = Arc XY
Arc WZ = 105° Therefore Arc XY = 105°
2. Arc SR = Arc TU
Arc SR = 85° Therefore Arc TU = 85°
3. Arc PQ = Arc QR
Arc PQR = 40° + 40°
Arc PQR = 80°
4. Arc RT = 64°
x = (360° - 64°)/2
x = 296°/2
x = 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°)/2
x = 270°/2
x = 135°
8. 2x + 4 = 18
2x = 18 - 4
x = 7
9. 2x + 1 = 5x - 5
2x - 5x = -5 - 1
x = 2
10. 3x + 16 = 12x + 7
3x - 12x = 7 - 16
x = 1
11. 3x - 11 = x + 9
3x - x = 9 + 11
x = 10