abcd is a trapezium in which ab parallel to bc and bc is parallel to x-axis if angle abc=60 and ab=ad, calculate the slopes of ab, dc, bd and ac.
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Step-by-step explanation:
Suppose a line makes an angle A with X axis. Then A is known as angle of inclination of the line
Its slope = tan A
1. Since the side AB Parallel to X axis
its angle of inclination with x axis is 0 degree
Slope of AB = tan (0) = 0
2.Since the side BC perpendicular to X axis its angle of inclination with X axis is 90 degrees
Slope of BC = tan (90) = infinite
3. Since the diagonal AC makes an angle 45 degrees with X axis
Slope of AC = tan (45) = 1
I hope this answer helps you
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