Question

PQR and QST are two triangles such that

ang4 = ang6

ang1 =ang 3

ang4 =ang 5

Prove that angleR = angleT

Answer 1

anglePQR=angleSQT
ANGLE1+ANGLE2=ANGLE3+ANGLE2
ANGLE1=ANGLE3(GIVEN)
ANGLE4=ANGLE5 (GIVEN)
ANGLEPQR+ANGLEQPR+ANGLEPRQ=180(ANGLE SUM PROPERTY)
ANGLEQST+ANGLETQS+ANGLESTQ=180(ANGLE SUM PROPERTY)
ANGLEPQR+ANGLEQPR+ANGLEPRQ=ANGLEQST+ANGLETQS+ANGLESTQ=180
THEREFORE, angleR=angleT

Answer 2

Answer:

Step-by-step explanation: