Question

one angle of parallelogram is 45° find its opposite angle and adjacent angle​

Answer 1

Answer:

opposite. angle is 45° also

adjacent angle is 135°

Step-by-step explanation:

u can verify it by quadrilateral angle sum property

sum of all angles =360°

Answer 2

SOLUTION

GIVEN

One angle of parallelogram is 45°

TO DETERMINE

The opposite angle and adjacent angle

EVALUATION

Let ABCD be the parallelogram

Here it is given that One angle of parallelogram is 45°

Let ∠A = 45°

Since the sum of any two adjacent angles of a parallelogram is equal to 180°

∴ ∠A + ∠B = 180°

⇒ ∠B = 180° - 45°

⇒ ∠B = 135°

Since Opposite angles of a parallelogram are equal

∴ ∠B = ∠D = 135°

And ∠A = ∠C = 45°

FINAL ANSWER

Hence all the four angles are

45° , 135° , 45° , 135°

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