Yes, the triangles are congruent by Hypotenuse angle congruence
Step-by-step explanation:
we know that
The <u>Hypotenuse-Angle Congruence</u> states that If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the triangles are congruent.
In this problem
The hypotenuse and an acute angle of the right triangle in the left are congruent to the hypotenuse and corresponding acute angle of the right triangle in the right
therefore
The triangles are congruent by Hypotenuse angle congruence
