A figure displays two nonadjacent angles with measures 3x degree and (4x + 1) degree. If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?

Question

Options:
(7x + 1) degree = 180 degree
(1x + 1) degree = 180 degree
(7x + 1 degree = 90 degree
(1x + 1) degree = 90 degree

Answer 1

Since the angles are complementary, their measures must add up to 90 degrees.

So, the equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90

Simplifying this equation, we get:
7x + 1 = 90

Therefore, the simplified equation corresponding to the measures of the angles is:
(7x + 1) degree = 90 degree