Question

Answer the attached question

Answer 1

Answer:

x = 21

Step-by-step explanation:

We have alternative external corners.

The lines m and n are parallel. That is why the alternative external angles are congruent (they have the same measure).

In the triangle RTS we have angles:

$4x^o,\ 54^o,\ 2x^o$

We know: The sum of the angles of the triangle is equal to 180 °.

Therefore we have the equation:

$4x+54+2x=180$            subtract 54 from both sides

$6x=126$           divide both sides by 6

$x=21$