A geometry problem by Dinesh Grover

Geometry Level 1

In an isosceles triangle, one of its angles is 12 0 120^\circ . What is the measure (in degrees) of the other angle?


The answer is 30.

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1 solution

Pham Khanh
Apr 17, 2016

The sum of the interior angles are 18 0 o 180^o . So it can't exist 2 angles of 12 0 o 120^o because the sum of these angles are: 12 0 o + 12 0 o = 24 0 o > 18 0 o 120^o+120^o=240^o>180^o Hence, the 2 other angles are: 18 0 o 12 0 o 2 = 3 0 o \frac{180^o-120^o}{2}=30^o Therefore, the answer is 3 0 o \boxed{30^o}

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