Question

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

Answer 1

Answer:
x + y = 90
and
x – y = 8

Explanation:
One of two complementary angles = x angle and y angle, x + y = 90
is 8 degrees less than the other = –8 so
x + y = 90
and
x – y = 8

Answer 2

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

Explanation:

In this question we will form the equation as per statements given.

"One of two complementary angle is 8 degrees less than the other."

Let the two angles are 'x' and 'y'

By the statement ( y = x - 8 )

y - x = (-8)

or x - y = 8 -----------(1)

"Both the angles are complementary."

x + y = 90° -----------(2)

Therefore, system of equations will be

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

Option A. is the correct answer.