Question

Figure JKLM is a rectangle, so mAngleKJM = mAngleKLM = 90° and AngleKJC Is-congruent-toAngleMLC.

A rectangle has corner points J, K, L, M going clockwise. 2 lines are inscribed within the rectangle. One line goes from K to M, and the other line goes from J to L. Both lines intersect in the middle to form point C. All lines in the rectangle are the same length.
Which reason justifies the statement that AngleKLC is complementary to AngleKJC?

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

Answer 1

Considering the information of the rectangular described above, the reason that justifies the statement that Angel KLC is complementary to Angle KJC is that "Angles that are congruent are complementary to the same angle."

This is evident in the fact that one line goes from K to M, and the other line goes from J to L. And finally, both lines intersect in the middle to form point C. This proves the idea that should two angles which are complementary to the same angle exist, then they are congruent to each other.

Also, it should be noted that complementary angles sum up to 90 degrees.

And in this case, Angel KJC and Angle KLC are congruent to each other.

Hence, the correct answer is option A "Angles that are congruent are complementary to the same angle"

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Answer 2

Answer:

A. Angles that are congruent are complementary to the same angle.