Answer:
∠Z = 52°
b = 59°
Explanation:
You want to know the measures of an angle and a variable in the given quadrilaterals with angles marked.
Kite
Segment WY divides the figure into two congruent triangles, so you know angles X and Z have the same measure. The sum of angles in a quadrilateral is 360°, so ...
∠W +∠X +∠Y +∠Z = 360°
134° +∠Z +122° +∠Z = 360° . . . . . . use ∠Z for ∠X
2·∠Z = 104° . . . . . . simplify, subtract 256°
∠Z = 52°
Rhombus
Opposite angles of a rhombus are congruent, so ...
2b = b +59°
b = 59° . . . . . . . . . subtract b