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GRE
GRE Quantitative Reasoning Section

Finding the Measure of Angle A in Isosceles Triangle

Medium Geometry Lines And Angles

Consider a triangle ABC where angle A is the vertex angle and the lengths of the sides opposite to angles B and C are equal, making triangle ABC isosceles. The value of angle A is represented by $ heta$, and the measures of angles B and C are both represented by $x$. According to the Triangle Angle Sum Theorem, the sum of the angles in any triangle is $180^ ext{o}$. Based on this information, find the measure of angle A if $ heta$ corresponds to the expression $180^ ext{o} - 2x$.

Hint

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