Answer:
ST = 8 m
SU = 7 m
m∠Q = 75°
m∠S = 59°
m∠R = 46°
m∠U = 46°
Explanation:
The given parameter are;
ΔPQR is congruent to ΔSTU
In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m
In ΔSTU, m∠T = 75°
By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;
m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R
Therefore;
ST = PR = 8 m
ST = 8 m
SU = PQ = 7 m
SU = 7 m
m∠Q = m∠T = 75°
m∠Q = 75°
m∠S = m∠P = 59°
m∠S = 59°
m∠U = m∠R = 180 - (75° + 59°) = 46°
m∠R = 46°
m∠U = 46°.