Question

Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.

m∠ABC = °

m∠BCD = °

m∠DEA = °

m∠CDE = °

Answer 1

please the figure

Answer 2

diagram:



clickable: https://us-static.z-dn.net/files/d0c/a320fb3ef89b1c0f8da77100d50c765c.png

Answer 3

using conventions for angle notation, each angle in ABCDE maps to each angle in FGHIJ in the same order

ex: angle <A in ABCDE is equal to <F in FGHIJ

so, let's do the first angle as an example

m∠ABC = ?

m<ABC would be equal to <B (remember that you can name an angle by its vertex, the "middle" point of the angle. since B is in the middle of ABC, you can name <ABC as <B)

since B is the second letter on FGHIJ, this matches up to <G on FGHIJ. on the diagram, this angle is 90 degrees.

therefore: m∠ABC = 90 degrees

repeat this process with the other three angles