![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
A rhombus has all the properties of a parallelogram.
\Therefore, in a rhombus consecutive angles are supplementary.
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=da9e067d000ac862da4fba8d6384cafc.png\")
(Consecutive angles of rhombus are supplementary)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=55476a4c64fccd79e686d698c23da97c.png\")
(Substitute ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=61fcef88c375a763420e20f4a68fac28.png\")
)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=14a40582f1561019bbde04442a7c5382.png\")
(Subtract 83.2 from each side)![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The measure of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e9d78efde8fde59a833b02eabeb3c81f.png\")
is 96.8.
\