Question

Two angles are complementary. If one angle is two times the sum of the other angle and

3, find the two angles.

Answer 1

28° and 62°

Explanation:

Mark one angle as x

Then the other angle as y

Two angles are called complementary when their measures add to 90 degrees.

Therefore x + y = 90°

and x = 90° - y

It is also given that x = 2 * (y + 3)

90 - y = 2 * (y + 3)

90 - y = 2y + 6

- 3y = 6 - 90

-3y = - 84

// divide both sides by -3

y = 28°

Now combine the given y value into the expression x = 90° - y

x = 90 - 28

x = 62°