Answer :

The values of x and y are 15 and 75, respectively

How to determine the values of x and y?

The statements are given as:

  • Angle x and angle y are complementary angles
  • Angle y is 5 times the size of angle x

These mean that

x + y = 90

y = 5x

Substitute y = 5x in x + y = 90

x + 5x = 90

Evaluate the sum

6x = 90

Divide by 6

x = 15

Substitute x = 15 in y = 5x

y = 5 *15

Evaluate

y = 75

Hence, the values of x and y are 15 and 75, respectively

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