The diagram below shows Rhombus MNPS with diagonals intersecting at Point Q.   To find m∠NPS, Roberto completed the following steps of a proof, but did not provide any reasons. Which reason can be used to justify Step 3?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 6E: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller...
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The diagram below shows Rhombus MNPS with diagonals intersecting at Point Q.

 

To find m∠NPS, Roberto completed the following steps of a proof, but did not provide any reasons. Which reason can be used to justify Step 3?

 

 

 

 

 

 

 

 

 

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