Question

In the figure, line a lol line b and line 1 is a transversal. find the measures of LX, LA, Lz using the given information ​

Answer 1

Step-by-step explanation:

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