Question

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

Answer 1

x=105° (corresponding angles)
x=y =105°( vertically opposite angles)
z=180°-105°=75°

Answer 2

Solution :

i ) a // b , l is the transversal .

x = 105° ---( 1 )

[ corresponding angles ]

ii ) x = y = 105 ° ---( 2 )

[ vertically opposite angles ]

iii ) z + 105° = 180°

[ Linear pair ]

z = 180° - 105°

z = 75°

Therefore ,

x° = 105° ,

y = 105° ,

z = 75°

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