#### Answer

$38^{\circ}, 90^{\circ}, 52^{\circ}$

#### Work Step by Step

1. These angles are marked as congruent, so they have the same measure
$\angle Z= \angle P= 38^{\circ}$
2. These angles are marked as right angles
$\angle Y= \angle N= 90^{\circ}$
3. To find third angle we apply the rule that sum of angles of a triangle is 180 degrees
$\angle X= \angle M= 180^{\circ}-90^{\circ}-38^{\circ}=52^{\circ}$