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Two of the angles of a triangle are congruent; the third has measure ten degrees greater than either one of the first two. What is the measure of the third angle?

$66 \frac{2}{3} ^{\circ }$

CORRECT

$63 \frac{1}{3} ^{\circ }$

$53 \frac{1}{3} ^{\circ }$

$56 \frac{2}{3} ^{\circ }$

$73\frac{1}{3}^{\circ }$

Explanation

Let be the measure of the third angle. Since its measure is ten degrees greater than either of the others, then the common measure of the other two is . The sum of the measures of the angles of a triangle is 180 degrees, so