Question

Two parallel lines are crossed by a transversal. What is the value of k? k = 9 k = 20 k = 60 k = 71

Answer 1

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Answer:

k=60

Step-by-step explanation:

When a pair of parallel lines is crossed by a transversal, it will make 8 angles, pairs of vertical/opposite angles, two pairs of acute angles and two pairs of obtuse angles. All acute angles are congruent as well as all obtuse angles are congruent. Simply we can say that pairs of acute angles and pairs of obtuse angles are congruent.  

From the figure attached below (by the name "Pairs of parallel lines crossed by a transversal"), we get the following equations as:

2k+11=131

Solving for k, we get

2k=131-11

2k=120

k=120/2

k=60