Question

If you increase the measure of one angle of a parallelogram  ,what happens to the measure of its adjacent angles so that the figure remains a parallelogram?​

Answer 1

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properties of parallelogram :

• The opposite sides are parallel.
• The opposite sides are congruent.
• The opposite angles are congruent.
• Consecutive angles are supplementary (add up to 180-degrees).
• The diagonals bisect each other.

Solution:

Since,the sum of any two adjacent angles of a parallelogram is equal to 180°. If one angle is increased , the other adjacent angle will decrease to that degree to get a sum of 180°.

Answer 2

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properties of parallelogram :

• The opposite sides are parallel.
• The opposite sides are congruent.
• The opposite angles are congruent.
• Consecutive angles are supplementary (add up to 180-degrees).
• The diagonals bisect each other.

Solution:

Since,the sum of any two adjacent angles of a parallelogram is equal to 180°. If one angle is increased , the other adjacent angle will decrease to that degree to get a sum of 180°.