Question

solve for x and y

Explanation:

Step1: Use the property of congruent triangles

Since the two triangles are congruent (by the markings of equal sides), the angles opposite the equal sides are equal. So \(x = 29^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let's consider the triangle with angle \(18^{\circ}\). We know one angle is \(x = 29^{\circ}\), and let the third angle be \(y\). Then \(y=180^{\circ}-(29^{\circ}+18^{\circ})\).

$$y = 180^{\circ}-47^{\circ}=133^{\circ}$$

Answer:

\(x = 29^{\circ}\), \(y = 133^{\circ}\)