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31. 360- (83+47+92+75)
= 63 degrees ( a circle is of 360 degrees and the angles above are forming a circle)
32. angle 1 = 120 therefore,
angle 5 = 180 - 120
angle 5 = 50 degrees ( angles on straight line is 180 degrees)
then, angle 2 = angle 6 = 100 degrees ( they are on the transversal)
angle 4 = 180 - 100= 80 degrees ( angle 4 and 6 are on straight line forming 180 degrees)
Now, a triangle forms 180 degrees by sum of interior angles..so,
angle 5 + angle 4 + angle 3 = 180 degrees
i.e 50 + 80 + angle 3 = 180
angle 3 = 180 - 50 - 80
angle 3 = 50 degrees
angle 3 is 50 degrees and angle 4 is 80 degrees
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