Question

If two adjacent angles of a parallelogram have equal measures, then each of the angles of the

parallelogram is _____.​

Answer 1

Answer:

• 60 and 120

Step-by-step explanation:

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Answer 2

Answer:

Then each angles of parallelogram is 90°

Step-by-step explanation:

In parallelogram,

The sum of two adjacent angles is 180° (consecutive interior angle).

AngleA + AngleB = 180° (equation-1)

And if Both angles are equal to each other,

AngleA = AngleB (equation-2)

in eq.1 put the value of AngleB from eq. 2

Then, AngleA + AngleA = 180°

2AngleA = 180°

AngleA = 90° (180/2 = 90)

Hence, AngleA = AngleB = 90°

Apply this process on all sides then you will find that, every angles of parallelogram will 90°.