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Since the angles of a triangle add up to 180°, if one of the angles is a right angle (definition of a right triangle) then the sum of the other two will be 90°. If we designate the measure of the smaller acute angle as "x" then the other angle will be "4x" and:

x + 4x = 90°

so

5x= 90°

and

x = 18°

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