Question

It's Easy But I am Confused
question in picture​

Answer 1

Answer:

Sorry for bad handwriting

Answer 2

Given :

• If l || m || n

• x = z ( because of it's interior Alternate angles )
• x : y = 3 : 2

To Find :

• $\sf Find \: \: \angle z$

Explanation :

• x : y = 3 : 2

$\longrightarrow$ Let open the Ratio any put assume number k

• x = 3k , y = 2k

• Now We have find out that x = y

$\longrightarrow$ Hence,

• $\sf z + y = 180°$

$\longrightarrow$ We can put the value of z is x

$\longrightarrow$ hence, x = z = 3k

• $\sf x + y = 180°$

$\longrightarrow$ we can also put the value of y = 2k

• $\sf 3k + 2k = 180°$

• $\sf 5k = 180°$

• $\sf k = \frac{\cancel{180}^{\: \: 36 × \cancel5}}{\cancel5}$

• $\sf \red{\underline{\underline{ k = 36 }}}$

$\longrightarrow$ Now, For $\sf \angle z$

• l || m || n

$\longrightarrow$ Hence, Because of corresponding angles

• x = z = 3k
• 3k = 3 (36) = 108°

Hence

$\sf \red{\underline{\underline{\angle z = 108°}}}$

I hope it helps you ❤️✔️