Answer:
Step-by-step explanation:
From the picture attached,
In ΔNMR and ΔOQP,
NM║OQ, and MP is the transversal intersecting these lines at M and Q.
∠NMR ≅ ∠OQP [Given]
m∠NRM = m∠OPQ = 90° [Given]
ΔNMR ~ ΔOQP [By AA property of similarity]
Therefore, corresponding sides of the similar triangles will be proportional.
[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]
Since, NM ≅ OQ [Given]
Therefore, NR ≅ OP
