Question

Understanding Quadrilaterals
1) One angle of a parallelogram is of measure 70°. Find the measures of the remainine
parallelogram.
asures of the remaining angles of the
2) The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm.
Find length of all sides of the parallelogram.
Lengths of adjacent sides of a parallelogram is 3 cm and 4 cm. Find its perimeter.​

Answer 1

Answer: The opposite angles of a parallelogram are of equal measure. Therefore one angle will be 70 As the measure of the paralleogram is 360 the measure of remaining two angles is 360-70+70 =360-140=120

Answer 2

Answer:

I am giving step by step explanation of the answer.

Step-by-step explanation:

1.As opposite angles of parallelogram are equal. So the angle opposite to the mentioned angle will be same and the sum of the angles of parallelogram is equal to 360 degree.

So, 70 degree +70 degree = 140 degree.

Then 360 degree -140 degree = 220 degree.

As opposite angles of parallelogram are equal, 220/2= 110 degree.

So the remaining measures are 70 degree, 110 degree and 110 degree.

2. As the length of the opposite sides of a parallelogram are equal.

So, 25 cm +25 cm =50 cm.

Then, 150 cm - 50 cm = 100 cm.

As the length of opposite sides of a parallelogram are equal, 100/2 = 50 cm.

So the length of the remaining sides of a parallelogram are 25 cm, 50 cm and 50 cm.

3. Formula of finding the perimeter of a parallelogram is 2*length + 2*breadth.

So, 2*3 + 2*4

=6 + 8 = 14

So, the perimeter of the parallelogram is 14 cm.

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