Question

A 30degree angle is complementary to angle x. Which of the equation represent this situation?

Answer 1

`\boxed{30^(\circ)+x=90^(\circ)}`

Explanation:

Angles that add up to 90° are called complementary angles. In this problem, we have two angles. The first one is 30° and the second one is x degrees. Thus we don't know the second angle. In this way, we need to find an equation such that satisfies the definition of complementary angles. This equation is as follows:

`\boxed{30^(\circ)+x=90^(\circ)}`

By isolating x, we can find the value of the complementary angle to 30 degrees:

`x=90^(\circ)-30^(\circ) \\ \\ \boxed{x=60^(\circ)}`