Question

In a parallelogram two adjacent angles differ by 40 degrees . Find all the angles of parallelogram. Please find it faster

Answer 1

In a parallelogram, two angles differ by 40°.

In a parallelogram, any two adjacent angles add up to 180° (Supplementary angles).

So let one angle be x.

Therefore the other angle will be (180° - x).

x - (180° - x) = 40°

x - 180° + x = 40°

2x - 180° = 40°

2x = 40° + 180°

2x = 220°

x = 220°/2

x = 110°

Therefore x = 110° and 180° - x = 180° - 110° = 70°.

Now we know two angles of the parallelogram.

Therefore the other two angles will be of measures 110° and 70°

Since: 110° + 70° = 180°

So in the parallelogram, there will be two angles of measure 110° and two angles of measure 70°.

Hope this helps :)

Answer 2

Answer:

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