Question

m∠efg = m∠feh because they are alternate interior angles.
m∠fge = m∠gei because they are alternate interior angles.
m∠feh + x° + m∠gei = 180° because the three angles form a straight line.
so the value of x must be

Explanation:

Step1: Identify known angles

$m\angle FEH = 56^\circ$, $m\angle GEI = 71^\circ$

Step2: Use straight line angle sum

$m\angle FEH + x^\circ + m\angle GEI = 180^\circ$

Step3: Substitute values and solve for $x$

$56 + x + 71 = 180$
$x = 180 - 56 - 71$

Answer:

$53$