Question

Angles Q and R are complementary. What is `m∠R` if `m∠Q = 24°`?

Answer 1

`66˚`

Explanation:

Complementary angles are angles whose measures have a sum of `90˚`.

Therefore, if `angleR` and `angleQ` are complementary, `mangleR+mangleQ=90˚`.

Since we know that `mangleQ=24˚`, we can say that `mangleR+24˚=90˚`.

From here, we can subtract `24˚` from both sides to find that `mangleR=66˚`.