Question

Two angles are complementary to the same angle. What can you conclude about the two angles?

Answer 1

They are equal.

Explanation:

One theorem of geometry says:
Two angles complementary to the same angle are congruent.

See this example:

If an angle is `60^@`, it's complement is `30^@`, because
`60 + 30 = 90`

Say there's another complement. What's it's measure? It has to be `30^@` too! So they are congruent.

Conclusion: `angle A cong angleC` because they're both `30^@`