Math, asked by prachi111117, 9 months ago

please tell this answer fast​
and this is the full question

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Answered by nayanmathur28
1

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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