Answer:
Explanation:
This is a proof. You need to use theorems and definitions to get to your answer. You cannot make any assumptions without a definition for it. You can you use the information that you have proven from previous statements.
m<1 = m<2 Given
QP = QR Given
m<3 = m<4 Vertical Angles
m<1 + m<3 + m<P = 180 Triangle Sum Theorem
m<P = 180 - m<1 - m<3 Subtraction
m<P = 180 - m<2 - m<3 Substitution
m<2 + m<4 + m<R = 180 Triangle Sum Theorem
m<R = 180 - m<2 - m<4 Subtraction
m<R = 180 - m<2 - m<3 Substitution
m<P = m<R Transitive
m<Q = m<Q Reflexive
ΔQTP ≅ ΔQTR ASA
We proved that the triangles are congruent by proving an angle, a side and another angle are the same.
<Q and <Q same
QR and QP same, this was give
<R = <P same through proof