Question

An angle of a parallelogram is 20 less than its adjacent angle. find the measure of all its angles

Answer 1

Let the angles of the
parallelogram be, x , y , a & b
Then,
x = a (Opposite angles are equal)
y = b

As x is adjacent y then,
x - 20 = y
And,
x + y = 180 ( adjacent angles are
supplementary)

So introducing the value of y in this,
x + y = 180
x + (x - 20) = 180
2x - 20 = 180
2x = 180 + 20
x = 200 / 2
x = 100

Then introducing x value,
x - 20 = y
100 - 20 = y
y = 80

Then as
x = a
and y = b
the angles of parallelogram are 100; 80; 100; and 80.

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Answer 2

Answer:

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