Solve for x. 6x-20 4x+50

Simplifying

4x + 50 = 6x + 20

Reorder the terms:

50 + 4x = 6x + 20

Reorder the terms:

50 + 4x = 20 + 6x

Solving

50 + 4x = 20 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

50 + 4x + -6x = 20 + 6x + -6x

Combine like terms: 4x + -6x = -2x

50 + -2x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0

50 + -2x = 20 + 0

50 + -2x = 20

Add '-50' to each side of the equation.

50 + -50 + -2x = 20 + -50

Combine like terms: 50 + -50 = 0

0 + -2x = 20 + -50

-2x = 20 + -50

Combine like terms: 20 + -50 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

∠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.

i believe the correct answer is b.