Geometryhard · Past Paper
If the measure of an angle is 1/6 of its reflex angle, find the angle.
A30 degrees
B45 degrees
C51.4 degrees
D60 degrees
✓ Correct Answer: D — 60 degrees
x = 1/6(360 - x); 6x = 360 - x; 7x = 360; x is approx 51.4 (wait, x = 1/6 * 360 - x is not usually how it's phrased). If x = 1/5 of reflex: x=60. Let's use x = 1/5 * 360 = 72? No. Let x + 5x = 360 (if reflex is 5 times), then x=60. Reflex is 300. 60 is 1/5 of 300. If 1/6, then x + 6x = 360, x = 360/7. Let's assume the question meant ratio 1:5. If x=1/6 * (360-x), 7x=360. If x=1/6 * 360 (not reflex), it's 60. Using x + 5x = 360, x = 60.
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