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QUESTION IMAGE

e for x and y

Question

e for x and y

Explanation:

Step1: Use the property of kite symmetry

A kite has one axis of symmetry. The angles \(x\) and \(29^{\circ}\) are equal due to the symmetry of the kite. So \(x = 29^{\circ}\).

Step2: Use the triangle angle - sum property

In a triangle, the sum of angles is \(180^{\circ}\). For the triangle with angles \(18^{\circ}\), \(x\) (which is \(29^{\circ}\)), and \(y\). We know that \(18^{\circ}+29^{\circ}+y = 180^{\circ}\). Then \(y=180^{\circ}-(18^{\circ} + 29^{\circ})\).

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

Answer:

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