Mathematics
In the given figure l || m and p || q. Find the angles x, y, z.

Lines & Angles
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Answer
Consider p || q and m is a transversal:
x° = 70° [Alternate angles]
Since, m is a straight line:
x° + z° = 180° [Linear pair]
⇒ 70° + z° = 180°
⇒ z° = 180° - 70°
⇒ z° = 110°
Now, consider l || m and p is a transversal:
y° = x° [Alternate angles]
∴ y° = 70°
x° = 70°, y° = 70° and z° = 110°
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