Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Similar Triangles
- The ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.
- Also, corresponding angles of two similar triangles are congruent.
Thus:
ΔPQR and ΔSTU are similar because:
PQ/ST = PR/SU = QR/TU = 3.5
Therefore,
m∠Q = 180 - 70 - 46
m∠Q = 64°
Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Learn more about similar triangles on:
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