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 measures add up to 90 degrees, so:
3x + (4x + 1) = 90
Combining like terms, we get:
7x + 1 = 90
Subtracting 1 from both sides, we have:
7x = 89
Dividing both sides by 7, we find:
x = 89/7
Simplifying further, we have:
x = 12.71
So the simplified equation is:
3(12.71) + (4(12.71) + 1) = 90