Geometryhard · Past Paper

In a triangle ABC, if 2*angle A = 3*angle B = 6*angle C, find angle A.

A30 degrees
B60 degrees
C90 degrees
D120 degrees

✓ Correct Answer: C — 90 degrees

Let 2A=3B=6C=k. A=k/2, B=k/3, C=k/6. k/2 + k/3 + k/6 = 180. (3k+2k+k)/6 = 180. k=180. A=180/2=90.

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