A figure displays two non adjacent angles with the measure of three x and four x plus once if the angles are complementary, what is a simplified equation corresponding to the measures of the angles
If the angles are complementary, it means that the sum of their measures is 90 degrees.
Let's assume that the measure of one angle is 3x, and the measure of the other angle is 4x + 1.
So, we can write an equation:
3x + (4x + 1) = 90
Simplifying the equation:
3x + 4x + 1 = 90
7x + 1 = 90
7x = 90 - 1
7x = 89
Dividing both sides by 7 to isolate x:
x = 89/7
So, the simplified equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90
where x = 89/7.