Find the measure of the indicated angle to the nearest degree.
A) 16°
C) 65°
B) 23°
D) 18°

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Answer:
C) 65°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(?) = 25/59
? = arccos(25/59) ≈ 64.93°
The indicated angle is about 65°.
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You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.