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

In the given figure l || m and p || q. Find the angles x, y, z. Lines and Angles, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

Lines & Angles

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Answer

Consider p || q and m is a transversal:

x° = 70° \quad[Alternate angles]

Since, m is a straight line:

x° + z° = 180° \quad[Linear pair]

⇒ 70° + z° = 180°

⇒ z° = 180° - 70°

⇒ z° = 110°

Now, consider l || m and p is a transversal:

y° = x° \quad[Alternate angles]

∴ y° = 70°

x° = 70°, y° = 70° and z° = 110°

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