We have been given that (6x + 44) + (-10x + 65) = 117
Re-arranging the terms, we get,
(6x - 10x) + (44 + 65) = 117
-4x + 109 = 117
-4x = 117 - 109
-4x = 8
x = -2
So, 6x + 44 = 6(-2) + 44 = 32 and
-10x + 65 = -10(-2) + 65 = 85
Hence, the required angles are [tex]32^{0}[/tex] and [tex]85^{0}[/tex].
