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Answer:
i)x=74°
y=37°
z=25°
ii)x=30°
y=15°
z=150°
Step-by-step explanation:
106°+2y°=180° (Linear Pair)
2y°=180°-106°
2y°=74°
y°=74°/2
y=37°
2y°=x° (Corresponding Angles)
2*37°=x°
x=74°
∠QSR=2y° (Vertical Opposite Angle)
∠QSR+∠SRP=180° (Make Linear Pair)
∠SRP=180°-2y°
∠SRP=180°-74°
∠SRP=106°
∠SRP=(4z+6°)
106°=(4z+6°)
106°-6°=4z
100°=4z
z=100/4
z=25°
ii)2x+90°+x=180° (Linear Pair)
3x=180°-90°
3x=90°
x=90/3
x=30°
x=2y (Alternate Interior Angles)
30°=2y°
y=30/2°
y=15°
2y+z=180°
2*15°+z=180°
30°+z=180°
z=180°-30°
z=150°
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