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. (7x+1)°=180°
B. (7x+1)°=90°
C. (1x+1)°=180°
D. (1x+1)°=90°
Since the angles are complementary, their measures add up to 90°. Therefore, the equation is:
3x° + (4x+1)° = 90°
Simplifying this equation gives:
7x + 1 = 90
Thus, the simplified equation corresponding to the measures of the angles is:
(7x+1)° = 90°
So, the correct answer is option B.