Question

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC.

Answer 1

Complementary angles are two angles that add up to 90°, or a right angle; two supplementary angles add up to 180°, or a straight angle. These angles aren’t the most exciting things in geometry, but you have to be able to spot them in a diagram and know how to use the related theorems in proofs.

You use the theorems listed here for complementary angles:

Complements of the same angle are congruent. If two angles are each complementary to a third angle, then they’re congruent to each other. (Note that this theorem involves three total angles.)Complements of congruent angles are congruent. If two angles are complementary to two other congruent angles, then they’re congruent. (This theorem involves four total angles.)

Thus, the correct answer is:Angles that are congruent are complementary to the same angle.

Answer 2

Answer:

Angles that are congruent are complementary to the same angle

Step-by-step explanation:

see that attached figure to better understand the problem

we know that

Two angles are complementary if their sum is equal to $90\°$

$m$

$m$ -----> equation A

$m$

so

$m$ -----> equation B

$m$

so

$m$ -----> equation C

Substitute equation A in equation C

So

$m$

That means------> angles ∠KLC and ∠KJC------> are complementary angles

therefore

the answer is

Angles that are congruent are complementary to the same angle