Question

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Answer 1

Answer:

All the four angles of the parallelogram are 72° , 108° , 72° & 108°

Step-by-step explanation:

Adjacent angles lie b/w two parallel sides or lines. Hence they are a pair of co interior angles.

And we know that sum of co interior angles = 180°

Given ,

The adjacent angles are in the ratio 2:3

LET THE ANGLES BE 2X & 3X

2x + 3x = 180°

5x = 180°

x = 36°

1st adjacent angles = 2x = 2×36° = 72°

2nd adjacent angle = 3x = 3× 36° = 108°

All the four angles of the parallelogram are 72° , 108° , 72° & 108°

Answer 2

Answer:

Angles are :- 72° &108°

Step-by-step explanation:

As they are in parallel lines

Therefore:-

Let these angles be 2x and 3x

So 2x+3x= 180°

[as the angles b/w parallel lines are supplementary]

5x = 180°

x= 180°/5

x= 36°

So the angles are :-

2x = 2×36° = 72°

3x = 3×36° = 108°

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