*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°
Answer:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°
hope this is ans . Brother
Answer: A
Step-by-step explanation: Hope this help :D
Answer:
We are working with 2 vertical angles which are ALWAYS equal.
Therefore, 2 + 3x = 62
3x = 60
Therefore, x = 20
Step-by-step explanation:
