Question

solve for x and y

Explanation:

Step1: Find the value of \(x\)

Since the two sides are equal, the angles opposite them are equal. So \(x = 78^{\circ}\).

Step2: Find the value of \(y\)

In a triangle, the sum of angles is \(180^{\circ}\). One angle is \(41^{\circ}\), and we assume it is a right - angled triangle (symmetry of the kite - shaped figure). So \(y=180^{\circ}-90^{\circ}-41^{\circ}\)

$$y = 49^{\circ}$$

Answer:

\(x = 78^{\circ}\), \(y = 49^{\circ}\)