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Because AB is parallel to CD, the transversal line EF creates the same angles in AB and CD.
This means that 3x+40 = 4x
..........==>> x = 40 degrees
Because AB is parallel to CD, the transversal line EF creates the same angles in AB and CD.
This means that 3x+40 = 4x
..........==>> x = 40 degrees
ANSWER
EXPLANATION
The given angle is 870°.
870°-360°-360°=150°
This means that:
870° is coterminal with 150°, hence its terminal side is in the second quadrant.
It makes an acute angle of 30° with the x-axis.
Note that cotangent is negative in the second quadrant,
Hence,
The first option is correct.