Subjects geometry

Angle C Measure 980F1C

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1. The problem states that triangle ABC is similar to triangle XYZ, with angles A and B corresponding to X and Y, respectively. 2. Since the triangles are similar, their corresponding angles are equal. Therefore, angle C corresponds to angle Z. 3. The measure of angle Z is given by the expression $7x + 25$ degrees. 4. Because corresponding angles in similar triangles are equal, the measure of angle C must be the same as angle Z. 5. Hence, the measure of angle C is $7x + 25$ degrees for all values of $x$. 6. The scale factor $k$ affects the lengths of the sides but does not affect the measures of the angles. 7. Therefore, the correct expression representing the measure of angle C is $7x + 25$. Final answer: A $7x + 25$