Question

solve for x and y
18°
x
29°
x=
y=

Explanation:

Step1: Use the property of perpendicular lines

The dashed line is the axis of symmetry of the kite - shaped figure. The two lines (the axis of symmetry and the dashed line) are perpendicular, so \(x = 90^{\circ}\).

Step2: Use the angle - sum property of a right - triangle

In the right - triangle formed (with one angle \(18^{\circ}\), one angle \(x = 90^{\circ}\), and the third angle \(y\)), we know that the sum of angles in a triangle is \(180^{\circ}\). So \(y+18^{\circ}+90^{\circ}=180^{\circ}\).

$$y=180^{\circ}-(90^{\circ} + 18^{\circ})$$

$$y = 72^{\circ}$$

Answer:

\(x = 90^{\circ}\)
\(y = 72^{\circ}\)