A figure displays two nonadjacent angles with measures 3x°

and (4x+1)°
. If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?

A. (1x+1)°=180°
B. (7x+1)°=180°
C. (1x+1)°=90°
D. (7x+1)°=90°

1 answer

Since the angles are complementary, their sum should be 90°.
Therefore, the equation would be:
3x° + (4x+1)° = 90°
Simplifying,
7x + 1 = 90
7x = 89
x = 89/7

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

Answer: D. (7x+1)°=90°