Respuesta :

Explanation

From the statement, we know that:

• ∠X and ∠Z are congruent ⇒ m∠X = m∠Z,

• m∠X= (3x+14)°,

• m∠Z = 53°.

(1) Using the data from above, we have:

[tex]\begin{gathered} m∠X=m∠Z, \\ (3x+14)\degree=53\degree, \\ 3x+14=53. \end{gathered}[/tex]

(2) Solving the last equation for x, we get:

[tex]\begin{gathered} 3x=53-14, \\ 3x=39, \\ x=\frac{39}{3}=13. \end{gathered}[/tex]Answer

x = 13

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