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?
Since the angles are complementary, their sum must be 90°. We can set up the equation as follows:
3x + (4x + 1) = 90
Combine like terms:
7x + 1 = 90
Subtract 1 from both sides:
7x = 89
Divide both sides by 7:
x = 89/7
Simplify if possible:
x = 12.714
Therefore, the simplified equation corresponding to the measures of the angles is:
3x = 3(12.714) = 38.142°
4x + 1 = 4(12.714) + 1 = 50.856°