The area of a rectangle is L x W, so 9(5+x) is the formula for the area in factored form. It can be simplified to 45+9x
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
