Question

in the diagram, abcd ~ abcd. what are the angle measures of abcd? m∠a = , m∠b = , m∠c = , m∠d = (type integers or decimals. do not include the degree symbol in your answers.)

Explanation:

Step1: Recall property of similar polygons

Similar polygons have equal - corresponding angles.

Step2: Identify angles in ABCD

In polygon ABCD, assume the angle measures are based on the given angles in the diagram. Let's say the angle corresponding to ∠A' in ABCD is the angle adjacent to the 125 - degree angle and 45 - degree angle. Using the fact that the sum of angles around a point is 360 degrees and the properties of parallel - like lines in the figure, we find the angles in ABCD first. The angle adjacent to 125 degrees is 180 - 125=55 degrees, and the angle adjacent to 45 degrees is 180 - 45 = 135 degrees.

Step3: Determine angle measures of A'B'C'D'

Since ABCD ~ A'B'C'D', m∠A'=125, m∠B' = 55, m∠C'=45, m∠D'=135.

Answer:

125, 55, 45, 135