Answer:
x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )
Step-by-step explanation:
If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;
By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒
m∠ ZYW = m∠ YWX,
m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x
By ∑ of angles in triangle Theorem;
m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,
( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,
3x - 5 + 90 + 2x = 180 ⇒ combine like terms,
3x + 2x - 5 + 90 = 180 ⇒ add,
5x + 85 = 180 ⇒ subtract 85 from either side of equation,
5x = 95, divide 5 on either side,
x = 19°
Solution; x = 19°
