One of two complementary angles is 8 degrees less than the other.
which of the following systems of equations represents the word problem?

x + y = 90 and x - y = 8
x + y = 90 and 90 - x = 8
x + y = 90 and y = 8x

 The correct option is

Step-by-step explanation:  Given that one of the two complementary angles is 8 degrees less than the other.

We are to select the correct system of equations represents the given word problem.

Let x and y represents the two complementary angles where y is less than x.

Since one angle is 8 degrees less than the other and y is less than x, so we have

We know that the sum of two complementary angles is 90 degrees, so we get

Thus, the required system of equations representing the given word problem will be

Option (A) is CORRECT.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c