The measure of an acute angle in a right triangle is one-fourth the measure of the other acute angle. Write a system of linear equations that represents this situation. Let x represent the larger acute angle and let y represent the smaller acute angle.

Question

Mathematics

Joel Savage

23 February, 10:49

The measure of an acute angle in a right triangle is one-fourth the measure of the other acute angle. Write a system of linear equations that represents this situation. Let x represent the larger acute angle and let y represent the smaller acute angle.

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Answers (1)

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Alyssa Ortega · Answer 1

x + y = 90 x = 4y

Step-by-step explanation:

The angles of a triangle add to 180°, so the acute angles of a right triangle add to 90°. This is one relation between the angles that can be made in to an equation.

Another relation that can be used to make an equation is the given fact that one angle is 4 times the size of the other.

The equations above express these relationships.