In the given figure, line a || line b, line l is a transversal. Find t

1.	In the given figure, line a \|\| line b, line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.
Answer» i. line a \|\| line b and line l is a transversal. ∴ m∠x = 105° …(i) [Corresponding angles] ii. m∠y = m∠x … [Vertically opposite angles] ∴ m∠y = 105° …[From (i)] iii. m∠z + 105° = 180° …[Angles in a linear pair] ∴ m∠z = 180°- 105° ∴ m∠z = 75° ∴ m∠x = 105°, m∠y = 105°, m∠z = 75°

In the given figure, line a || line b, line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.

Answer»

i. line a || line b and line l is a transversal.

∴ m∠x = 105° …(i) [Corresponding angles]

ii. m∠y = m∠x … [Vertically opposite angles]

∴ m∠y = 105° …[From (i)]

iii. m∠z + 105° = 180° …[Angles in a linear pair]

∴ m∠z = 180°- 105°

∴ m∠z = 75°

∴ m∠x = 105°, m∠y = 105°, m∠z = 75°