Lines \(\overleftrightarrow{ WX} \) and \( \overleftrightarrow{ AB} \) are shown with \(\triangle XYZ \) below, where \(\overline{YZ}\)  and \overleftrightarrow{AB}[/latex] are \(\parallel\). If exterior \(\angle A \) is \(121 ^\circ\) and \(\angle AXB\) is \(32 ^\circ\), what is interior angle \(\angle YZX\) in degrees?

Point X is outside of, but in the same plane as, a circle.Two different tangent line segments, \(\overline{XY}\) and \(\overline{XZ}\), are drawn from point X with points of tangency Y and Z, respectively. A third line segment is drawn between points Y and Z, creating \(\triangle ZYX\). If \(\angle Y = 47 ^\circ\) what is the measure of \(\angle X\) in degrees?

Line segments \(\overline{YZ}\), \(\overline{WX}\), and \(\overline{QR}\) all intersect at point P.  \(\overline{QR}\) is \(\perp\) to \(\overline{WX}\). If \(\angle XPZ = \frac{1}{2} \angle QPY\), what is the measure of \(\angle YPW\) in degrees?

Given the measures of the angles shown below, what is the measure of x in degrees?

\(\angle Y\) and \(\angle Z\) are supplementary. If the ratio of \(\angle X: \angle X + \angle Y = 1:6\). What is the measure of \(\angle X\) in degrees?

Two pieces of fence meet a path and form a triangular garden with interior angles \( angle P, angle D\), and \(angle Q\). If exterior angle \(angle K = 103 ^circ\) and \(angle P = 41 ^circ \), what is the measure of \(angle D\) in degrees?

If \(\angle V\) is \(33 ^\circ\) and \(\angle WXV\) is \( 106 ^\circ\), what is the measure of \(\angle Y\) in degrees?

Expressions for the measure of the 4 angles in a quadrilateral and an exterior angle \(\angle Z\) are given below. What is the measure of \(\angle Z\) in degrees?

\(\triangle ABC\) is pictured below along with \(\perp line segments [latex]\overline{BD}\) and \(\overline{EG}\), that intersect at point F. If \(\overline{AB} = \overline{CB}\), what is the measure of \(\angle EGC\)?

Which of the following linear equations is parallel to line segment \(\overline{AB}\) shown below?