Question

thank u in advance pls explain em to me(◍•ᴗ•◍)​

Answer 1

Answer:

1. 11= b

9=a

2. x=2

17=y

3. x=4

y= -4

4. g= 4

f= 42

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Fig. : 1

a = 9

b = 11

Reason : Opposite sides of a Parallelogram are equal and parallel.

Therefore; the values are a = 9 & b = 11

Fig. : 2

x + 2 = 4

Reason : Opposite angles of a Parallelogram are always equal.

x = 4 - 2

x = 2

And,

y - 5 = 12

Reason : Opposite pair of sides of a Parallelogram are always equal.

y = 12 + 5

y = 17

Therefore; the values are x = 12 & y = 17

Figure : 3

y - 60° = 56°

Reason : Opposite angles of a Parallelogram are always equal.

y = 60° + 56°

y = 116°

And,

3x + 4 = 16

Reason : Opposite sides of a Parallelogram are always equal.

3x = 16 - 4

3x = 12

x = 12/3

x = 4

Therefore; the values are : x= 4° & y = 116°

Figure : 4

(f + 30)° + 72 = 180° { Co-interior angles. }

f = 180° - (72° + 30°)

f = 180° - 102°

f = 178°

And,

8g - 3 = 25

Reason : Opposite pair of sides of a Parallelogram are always qual.

8g = 28

g = 28/8

g = 7/2

g = 3.5

Therefore; values are : f = 178° & g = 3.5

Figure : 5

3m = m + 8

Reason : Diagonals of a Parallelogram bisect each other.

2m = 8

m = 4

And,

2n - 1 = 9

Reason : Diagonals of a Parallelogram bisect each other.

2n = 9 + 1

2n = 10

n = 5

Therefore; values are : m = 4 & n = 5

Figure : 6

3j = 5j - 9

Reason : Diagonals of a Parallelogram bisect each other.

3j - 5j = -9

-2j = -9

j = -9/-2

j = 4.5

And,

6k = k + 10

Reason : Diagonals of a Parallelogram bisect each other.

6k - k = 10

5k = 10

k = 10/5

k = 2

Therefore; the values are : j = 4.5 & k=2