00:01
So here we will start to solve all these questions one by one.
00:07
So we start with the first question that in the figure the condition that guarantees that the quadrilator is a parallelogram.
00:18
So a quadrilator is a parallelogram when the opposite sides are congruent okay? when the opposite sides are congruent then only it is a parallelogram.
00:29
So the option is a.
00:32
So the first question option is a.
00:35
Now the second question.
00:37
What are the measurement of the parallelogram? so here as we see that, the measurement of the angle, this is 65 degree and this is 115 degree because the adjacent angles are sums 180 degree.
00:49
Okay? so these two angles sums to 180 degree and these two angles also sums to 180 degree.
00:55
So the angles are 65, 115, 65 and 115.
00:58
So the correct option is a again.
01:02
Okay? a option, 65, 65, 115 degree because the one angle is 115 degree.
01:09
Now the other question.
01:10
The two diagonal sum is 24 degree and c .e is equal to 5 cm.
01:15
As we know that the diagonals of a palorogram bisect each other.
01:20
So the length of ac will be twice of ce, that is 10 centimetre.
01:24
So now we have the diagonal sum as ac.
01:29
Plus bd is going to 24 cm and one diagonal is 10 cm so let another diagonal be x so 10 plus x is 24 so x is goes to 14 centimeter so x is goes to 14 centimeter is which option it is d option so our option is our answer is d now we start with another question that question number four two opposite angles of a parallelogram measures x plus 40 x minus 20 then find the value of x okay, the opposite angle of the parallelogram.
02:10
So the opposite angle of the parallelogram are always equal.
02:14
So we have this here.
02:17
That x plus 40 is equal to 3x minus 20.
02:22
So x plus 40 is equal to 3x minus 20.
02:24
So the opposite angles are same.
02:28
So x when we put here x, then 3x minus x is going to 2x and 20 plus 40 is going to 60.
02:34
So x is equal to 30 degree.
02:36
Okay, so x is goes to 30 degree.
02:38
So the correct option is b.
02:40
Now question number 5.
02:42
The study the parallelogram whose perimeter is 256 inches and the one pair of opposite sides are this.
02:51
Okay.
02:57
Now i mention of the study table is.
02:59
Okay.
03:00
So as we know that the perimeter of a parallelogram is what? the perimeter of a parallelogram is 2 into l plus b.
03:07
2 into length plus breadth.
03:09
Okay.
03:09
Now a perimeter is given as 56 and 2.
03:13
Into length plus breadth.
03:15
So we divide 2.
03:16
So it is 28.
03:18
So 28 is going to add these two minus 2 plus 3x.
03:23
So x is goes to 30 upon 3 is going to 10.
03:27
So x is goes to 10.
03:28
So we put the value of x in these two equations.
03:32
So put a value of x here.
03:35
So we get 2x minus 5 is goes to 15.
03:38
So one side is of 15 length and the other side is of 10 plus 3 is to 13.
03:43
So 15 and 13 and 13.
03:45
So the correct option is d 15 cross 13 inches.
03:51
How can you describe any opposite angles of a parallelogram they are equal? so the correct option is a.
03:57
Opposite angles are congruent of a parallelogram.
04:00
So the correct option is a...