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

Question

KnowledgeBoat · Accepted Answer

Consider p || q and l is a transversal: x° = 100° [Alternate angles] Consider l || m: z° = 100° [Corresponding angles] Let the angle vertically opposite to y° be t°. Now, t° and z° are co-interior: ∴ t° + z° = 180° ⇒ t° + 100° = 180° ⇒ t° = 180° - 100° ⇒ t° = 80° y° = t° [Vertically opposite angles] ∴ y° = 80° x° = 100°, y° = 80° and z° = 100°

Mathematics

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

Lines & Angles

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Mathematics

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

Lines & Angles

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(i)
(ii)
(iii)
(iv)
(v)

The sum of all the angles at a point is
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90°
180°
360°