12
QuizMultiple Choice

Foundations of Euclidean Geometry — Test

Question 12 • Geometry

Which reason justifies the statement that angle KLC is complementary to angle KJC ?

Answer
A
All angles in a rectangle are right angles.
B
Angles that are congruent are supplementary to the same angle.
C
Angles that are congruent are complementary to the same angle.
D
Complementary angles are always also congruent.

Explanation

If ∠KLC and ∠KJC are each complementary to the same angle, then each adds with that angle to make 90°. Therefore they are congruent to each other, and the relevant reason is that angles congruent to the same angle are complementary to that same angle. Choice D states this reason; choice A incorrectly says they are supplementary.

AI-written and checked against the verified answer.

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