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

Question

KnowledgeBoat · Accepted Answer

Consider, l || n: x° and 100° are co-interior angles. Co-interior angles are supplementary: ∴ x° + 100° = 180° ⇒ x° = 180° - 100° ⇒ x° = 80° y° = x° [Corresponding angles] ∴ y° = 80° Consider p || r and n is a transversal: z° = x° [Alternate angles] ∴ z° = 80° Now, consider l || m and r is a transversal: t° = 100° [Alternate angles] x° = 80°, y° = 80°, z° = 80° and t° = 100°

Mathematics

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

Lines & Angles

Related Questions

In the given figure, AB || CD || EF. Find x, y and z.

In the given figure, AB || CD || EF and AD || BE. Find x, y and z.

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

In the given figure, AB || CD. Find the angles x, y and z.