A) for δjkl use the triangle proportionality theorem to solve for x.

b) after you have solved for x, what is the perimeter of δjkl?

(show all your work)

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is

Step-by-step explanation:

Part a) Find the value of x

we know that

The Triangle Proportionality Theorem, states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

Part b) we know that

The perimeter of triangle JKL is equal to

substitute the values

substitute the value of x

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

the answer is c)8

step-by-step explanaction: