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4.

$x = ?$

[In right triangle $ABC$, $m(\hat{A}) = 90^{\circ}$, $|BD| = |DC|$, and there's a marking showing a relationship between $|AE|$ and the hypotenuse segments. $m(\widehat{EDC}) = 27^{\circ}$, $m(\hat{C}) = x$.]

5.

$x = ?$

[In right triangle $ABC$, $m(\hat{A}) = 90^{\circ}$, $|AB| = |AE|$, $|BD| = |DC|$. Find the angle $m(\widehat{DEC}) = x$.]

This question includes visual content: The image contains two geometry problems numbered 4 and 5. Problem 4: A right triangle $ABC$ with the right angle at $A$. Point $D$ is the midpoint of hypotenuse $BC$ ($BD = DC$). Point $E$ is on side $AC$, and $AE$ is marked with double ticks, while $BD$ and $DC$ are marked with single ticks. A line segment $DE$ is drawn. The angle $EDC$ is given as $27^{\circ}$, and the angle $ACB$ is labeled as $x$. Problem 5: A right triangle $ABC$ with the right angle at $A$. Point $D$ is the midpoint of hypotenuse $BC$ ($BD = DC$). Point $E$ is on side $AC$. Side $AB$ is marked with double ticks, and segment $AE$ is also marked with double ticks. $BD$ and $DC$ are marked with single ticks. A line segment $DE$ is drawn. The angle $DEC$ is labeled as $x$.