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Question 6: In the diagram above, line AB is parallel to line CD, angle EIJ measures 140 degrees and angle CKG
measures 55 degrees. What is the measure of angle IKJ?
A. 40 degrees
B. 55 degrees
C. 85 degrees
D. 95 degrees
E. 135 degrees
Correct Answer: C
Explanation/Reference:
Since AB and CD are parallel lines cut by transversals EF and GH respectively, angles CKG and IJK are
alternating angles. Alternating angles are equal in measure, so angle IJK= 55 degrees. Angles EIJ and
JIK form a line. They are supplementary and their measures sum to degrees. Angle JIK degrees.
Angles
JIK, IJK, and IKJ comprise a triangle. There are 180
degrees in a triangle; therefore, the measure of angle IKJ= 180 (55 + 40) = 85 degrees.
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