Question

Determine the angle measures of quadrilateral EFGH that would result in it's similarity to quadrilateral ABCD

Answer 1

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. Corresponding sides of similar polygons are in proportion, and corresponding angles of similar polygons have the same measure. Two congruent shapes are similar, with a scale factor of 1.

Similarity statement:

In geometry, it states that two sides are similar if they have the same side ratio and the same angles

From the image in the question,

The quadrilateral ABCD has the following angles

`\begin{gathered} m\angle A=90^0 \\ m\angle B=132^0 \\ m\angle C=73^0 \\ m\angle D=65^0 \end{gathered}`

From the similarity statement above,we can deduce that