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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

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tropicaia
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:

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

Step-by-step 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.

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