Question

solve for x and y

Explanation:

Step1: Use the property of perpendicular lines

Since the dashed line is an axis of symmetry and forms a right angle with the side of the figure, \(x = 90^{\circ}\).

Step2: Use the triangle angle - sum property

In a triangle, the sum of angles is \(180^{\circ}\). For the triangle with angles \(18^{\circ}\), \(29^{\circ}\), and \(y\), we have \(y=180-(90 + 18+29)\).
First, calculate \(90 + 18+29=137\). Then \(y = 180 - 137=43^{\circ}\).

Answer:

\(x = 90\), \(y = 43\)