Question

1. If one angle of a parallelogram is of 65°, then the measure of the adjacent angle is *

65°
25°
90°
115°
Other:
2. If ˂A of a parallelogram A B C D is of 60°, then the measure of the opposite angle ˂C is *

60°
120°
30°
None of these
Other:
3. If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is *

Rectangle
Square
Rhombus
Kite
Other:
4.If the length of a side of a rhombus is 6cm, then the perimeter of the rhombus is *

6 cm
12cm
24cm
3cm
Other:

Answer 1

Answer:

hey mate ❤️.....here is your answer.....

a)115°

b)60°

c) rhombus

d)24cm

Step-by-step explanation:

hope this help u✌️......mark as brainliest dear ❤️.....

Thanks for asking ☺️......

Answer 2

Answer:

The correct answers to all the given questions are found to be:

1. Option D) $115^\circ$

2. Option A) $60^\circ$

3. Option C) Rhombus

4. Option C) $24cm$

Step-by-step explanation:

1. Now, we know that the sum of adjacent angles of the parallelogram is $180^\circ$ and we are given one angle of parallelogram as $65^\circ$. To find the adjacent angle, let's say $x$ of the given angle, we would use this above property of adjacent angles of the parallelogram as follows:

$x+65^\circ=180^\circ$

$x=115^\circ$

2. $\angle A$ and $\angle C$ in the parallelogram ABCD would be opposite angles, and the opposite angles of a parallelogram are always equal.

So, $\angle A=\angle C$

Thus, $\angle C=60^\circ$

3. There are only two type of parallelograms whose all four sides are equal- a square and a rhombus. The square has all four right angles but the rhombus has no such specification about interior angles.

As the given angles of the parallelogram with equal sides are not right angles, the given parallelogram is a Rhombus.

4. The Rhombus has all four equal sides and the perimeter of any polygon is the sum of all its sides, so the perimeter of Rhombus with side 6cm would be:

$p=6+6+6+6$

$p=24cm$

The perimeter of given Rhombus is found to be 24cm.