A figure displays two nonadjacent angles with measures 3x and (4x+1) if the angles are complimentary what is the simplified equation corresponding to the measures of the angles?
Two angles are complementary if their measures add up to 90 degrees. So, we have the equation:
3x + (4x + 1) = 90
Simplifying the equation by combining like terms, we get:
7x + 1 = 90
Subtracting 1 from both sides of the equation, we get:
7x = 89
Finally, dividing both sides of the equation by 7, we get the simplified equation:
x = 89/7