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x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Step-by-step explanation:

x = larger acute angle

y = smaller acute angle

Recall:

A right angle measures 90°

Sum of angles in a triangle = 180°

y = 1/4x

Hence :

90 + x + y = 180

x + y = 180 - 90

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Put y = 1/4x in (1)

x + 1/4x = 90

1.25x = 90

x = 90 / 1.25

x = 72

x + y = 90

72 + y = 90

y = 90 - 72

y = 18

32

step-by-step explanation: