Question

Answer the attached question

Answer 1

x = 21

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`