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19 quadrilateral abcd is similar to quadrilateral wxyz. what is the mea…

Question

19
quadrilateral abcd is similar to quadrilateral wxyz.

what is the measure of angle xyz of the smaller quadrilateral? (note: the quadrilaterals are not drawn to scale.)
a 136°
b 44°
c 46°
d 114°

Explanation:

Step1: Recall similar polygons property

Corresponding angles of similar quadrilaterals are congruent.

Step2: Match corresponding angles

In quadrilateral ABCD and WXYZ, $\angle ABC$ (136°) corresponds to $\angle XYZ$.

Answer:

A. 136°