Answer:
i. ST = 7 m
ii. SU = 8 m
iii. m<R = [tex]46^{o}[/tex]
iv. m<Q = [tex]75^{o}[/tex]
v. m<S = [tex]59^{o}[/tex]
Step-by-step explanation:
Given: ΔPQR ≅ ΔSTU
Comparing the two triangles, we have;
i. ST = 7 m
ii. SU = 8 m
iii. m<R + m<P + m<Q = 180 (sum of angles in ΔPQR)
m<R + 59 + 75 = 180
m<R = 180 - 134
= 46
m<R = [tex]46^{o}[/tex]
iv. m<Q = [tex]75^{o}[/tex] (congruent angle with angle T)
v. m<S = [tex]59^{o}[/tex] (congruent angle with angle P)
