Two angles are supplementary. The larger angle is 166 larger than the smaller angle. Find the measure of both angles.
Let x and y be the two angles of supplementary.
Supplementary angles add to 180°
Thus, x + y = 180°
Given x = 166° + y when x > y
Equation becomes (166° + y) + y = 180°
166° + 2y = 180°
2y = 180° - 166°
2y = 14° implies y = 14° / 2
Thus, y = 7°
x = 166 + y = 166° + 7 °
x = 173°
Hence, the two supplementary angles are 173° and 7°
Two angles are supplementary. The larger angle is 166 larger than the smaller angle. Find the...
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