Geometryhard · Past Paper

In a triangle, if angle A - angle B = 33 and angle B - angle C = 18, find angle B.

A43 degrees
B55 degrees
C61 degrees
D88 degrees

✓ Correct Answer: B55 degrees

A = B+33, C = B-18. (B+33) + B + (B-18) = 180; 3B + 15 = 180; 3B = 165; B = 55.

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