Question

0.10 Two supplementary angles differ by 50° Find measure of each angle,

Answer 1

Answer:

one angle is 115 and other is 65

Step-by-step explanation:

$let \: the \: one \: angle \: be \: x \: and \: other \: be \: y \\ x + y = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: (1) \\ x - y = 50 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2) \\ adding \: (1) \: and \: (2) \\ x + y = 180 \\ + \: \: \: \: \: \: \: x - y = 50 \: \\ 2x = 230 \\ x = 115 \: \\ subsituting \: value \: of \: x \: in \: equation \: (1) \\ x + y = 180 \\ 115 + y = 180 \\ y = 180 - 115 \\ y= 65$