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. (7×+1)°=180°
B. (7×+1)°=90°
C. (1×+1)°=90°
D. (1x+1)°=180°
Since the angles are complementary, their measures should add up to 90 degrees. Therefore, the equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90
Simplifying the equation:
7x + 1 = 90
Subtracting 1 from both sides:
7x = 89
Dividing both sides by 7:
x = 89/7 = 13
Therefore, the simplified equation corresponding to the measures of the angles is:
(7x + 1) = (7*13 + 1) = 90
So the answer is:
A. (7×+1)°=180°