Math, asked by shashikantadas2018, 10 months ago

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Answered by akshya73
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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

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