4*. In the adjoining figure, line a || line b. line l is a transversal. Find the measures of angle x, angle y, angle Z using the given information.
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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°
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