Question

If an angle of a parallelogram is two third of its adjacent angle then find smallest angle of the parallelogram

Answer 1

let adjacent angles be x

then, other angle = 2/3x

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we know that opposite angles of parallelogram are equal

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and sum of all 4 sides of parallelogram is 360

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= x+x+2x/3+2x/3 = 360

= 2x+4x/3 = 360

= 6x+4x/3 = 360. (by making denominator same)

= 10x/3 = 360

= 10x = 360/3

= x = 108

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then, other angle = 2/3×108= 2× 36

= 72

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the smallest angle is = 72 degree

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hope it helped☺️

Answer 2

answer is in the attachment