Question

Find z ginen ABCD is a parallelogram. give answer with photos ​

Answer 1

Answer:

Value of z is is 120°.

Step-by-step explanation:

Given that,

Quadrilateral ABCD is a parallelogram.

Some properties of parallelogram :

• Opposite sides of parallelogram are equal.
• Opposite angles of parallelogram are equal.
• It's all angle is add up to 180°.

Now see,

We know,

Opposite angles of parallelogram are equal.

So,

→ ∠BAD = ∠BCD

→ ∠BCD = 60°

Now,

We also know that,

Sum of all angles forms on straight line is equal to 180° or we can say linear pair.

So,

→ ∠BCD + z = 180°

→ 60° + z = 180°

→ z = 180° - 60°

→ z = 120°

Thus,

Value of z is 120°.

Answer 2

Question:

In figure, find $\bold{z}$ where, ABCD is a parallelogram.

Given:

• ABCD is a parallelogram.

To Find:

• Value of $\bold{z}$

Solution:

We know, that opposite sides of parallelogram are equal. So,

$\mapsto\mathsf{\angle BAD=\angle BCD}$

$\mapsto\mathsf{{60}^{o}=\angle BCD}$

Now, By linear pair sum of $\angle BCD$ and $\angle z$ equals to 180°. Therefore,

$\rightarrow\mathsf{\angle BCD+z={180}^{o}}$

$\rightarrow\mathsf{{60}^{o}+z={180}^{o}}$

$\rightarrow\mathsf{z={180}^{o}-{60}^{o}}$

$\rightarrow\mathsf{z={120}^{o}}$

Hence, value of $\bold{z}$ is 120°