Here's the question you clicked on:
nschmidty14
Find the measure of the larger angle. https://media.glynlyon.com/g_pal_2011/6/img_angles_supplementary.gif
These are supplementary angles, as such the sum of their values will equal 180. \[(2x + 7) + (6x - 9) = 180\] \[8x - 2 = 180\] \[8x = 182\] \[x = 22.75\] The larger of the two angles (assuming the picture is correct) is (6x - 9) Inserting the value of x we obtained we obtain \[6(22.75) - 9 = 127.5\]