Question

solve for x and y

Explanation:

Step1: Use triangle congruence property

Since the two triangles are congruent (marked with equal - length sides), the angles opposite the equal - length sides are equal.

Step2: Calculate \(x\)

The sum of angles in a triangle - like figure (formed by the two congruent triangles) for the angle \(x\): \(x = 90^{\circ}\) (because of the symmetry and the right - angle - like formation from the congruent parts).

Step3: Calculate \(y\)

Using the angle - sum property in the lower triangle part. \(y=180^{\circ}-90^{\circ}-26^{\circ}=64^{\circ}\)

Answer:

\(x = 90^{\circ}\), \(y = 64^{\circ}\)