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Answers
c) always intersecting
a) 72 degree
reason : we know sum of 2 interior angles=180
let the numbers be 2x and 3x
2x+3x=180
5x=180
x=32
smaller angle=2x
2x=2×32=72...
1. 25 degree
reason: we know sum of complement angles=90 degree
if one angle is x the other will be:
90-x (same as: a+b=90 so a=90-b)
now, x= 1/3*(90-x)
3x= 90-x
4x=90
x=25...
2. 72,108,72,108
reason: we know opposite sides of a parallelogram are equal so if the angles are unequal certainly they are adjacent
let the angles be 2x and 3x respectively
2x+3x=180( sum of adjacent angles of a parallelogram is 180)
5x=180
x=36
so the angles are 2x=2×36=72
3x=3×36=108
the angles are 72,108,72,108 as opposite sides of a parallelogram are equal