Question

If PQR ≈ STU complete each part

Answer 1

*see attachment for the complete diagram and what is required.

Answer:

✅ST = 7 m

✅SU = 8 m

✅m<R = 46°

✅m<Q = 75°

✅m<S = 59°

Step-by-step explanation:

Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.

Thus:

<P ≅ <S, therefore, m<P = m<S = 59°

<Q ≅ <T, therefore, m<Q = m<T = 75°

<R ≅ <U, therefore, m<R = m<U.

PQ ≅ ST, therefore, PQ = ST

QR ≅ TU, therefore, QR = TU

PR ≅ SU, therefore, PR = SU

Let's find the measure of the following with the information we already know:

✅ST = PQ = 7 m

✅SU = PR = 8 m

✅m<R = 180 - (m<P + m<Q) (sum of ∆)

m<R = 180 - (59°+ 75°) (substitution)

m<R = 180 - 134

m<R = 46°

✅m<Q = m<T = 75°

✅m<S = m<P = 59°