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Right triangles LMN and PQR are similar, where Land M correspond to P and Q, respectively. Angle Mhas a measure of 53°. What is the measure ofangle Q ?

Question

Right triangles LMN and PQR are similar, where Land M correspond to P and Q, respectively. Angle Mhas a measure of 53°. What is the measure ofangle Q ?

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Solution

Since triangles LMN and PQR are similar and M corresponds to Q, the measure of angle Q is also 53°. This is because corresponding angles in similar triangles are equal.

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