Question

2 The adjacent angles of a parallelogram are in the ratio 2:3. Find the measure of the angles of the
parallelogram​

Answer 1

Answer:

adjacent angles of a parallelogram are supplementary

let the measure be 2x and 3x

2x + 3x = 180

5x = 180

x = 180/5

x = 36 degrees

2x = 72 degrees

3x = 108 degrees

therefore the two angles are 72 degrees and 108 degrees

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Answer 2

Answer:

first be 2x and second be 3x

as the adjacent angle of parallelogram are of equal length so,2x +2x =4x and 3x +3x =6x

and sum of all angle of parallelogram is 360°

4x+6x =360°

10x=360°

360÷10

=36

now multiply it by 2 and 3

2×36=612°, 3×36=108°

Answer =612° and 108°