Question

triangle k is a scaled copy of triangle j.
triangle j: right triangle, one leg 8, hypotenuse 28, angle 73°, angle 17°
triangle k: right triangle, one leg 4, hypotenuse 14, angle m°
what is the value of m?
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Explanation:

Step1: Identify triangle type

Triangle J is right-angled, so angles sum to 180°.

Step2: Confirm scaled copy property

Scaled copies preserve angle measures.

Step3: Match corresponding angles

The side 8 in J corresponds to 4 in K (ratio 2:1), and side 28 in J corresponds to 14 in K (ratio 2:1). The angle adjacent to the shorter leg (8/4) and hypotenuse (28/14) in J is 73°, so m equals this angle.

Answer:

73