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l ∥ m and the transversal t meets them at A and B. The angle above l on the left of A is 122°. Find the angle $x$ at B.

Class 7Adjacent and Vertically Opposite AnglesLines and Angles

A58°
B122°
C32°
D68°

Step-by-Step Solution

Below l on the left of A the angle is

18 0^{\circ} - 12 2^{\circ} = 5 8^{\circ}

(linear pair). That angle and

x

are alternate interior angles, so

x = 5 8^{\circ}

.

Answer: A) 58°

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