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: Use property of similar - figures

Since \(ABCD\sim A'B'C'D'\), corresponding angles are equal.

Step2: Identify corresponding angles

We know that if the angles in \(ABCD\) are \(A\), \(B\), \(C\), \(D\) and in \(A'B'C'D'\) are \(A'\), \(B'\), \(C'\), \(D'\) respectively, then \(\angle A=\angle A'\), \(\angle B=\angle B'\), \(\angle C=\angle C'\), \(\angle D=\angle D'\).
From the diagram, we can see that if we assume the angles in the non - labeled triangle are used to find the angles of \(ABCD\).
Let's assume the angles of \(ABCD\) are found as follows:
If we consider the parallel - line and angle relationships, we find the angles of \(ABCD\).
Let's say the angle corresponding to \(\angle A'\) is found from the angle relationships in the given diagram.
We know that \(\angle A' = 125\), \(\angle B'=80\), \(\angle C' = 125\), \(\angle D'=80\) (because opposite angles of a parallelogram - like figure are equal and corresponding angles of similar figures are equal).

Answer:

125, 80, 125, 80