Question

In this figure, AB || CD and EF is a transversal. Find the x, y and z, in the figure.​

Answer 1

the angles in a line form180 degree.

therefore,

130+z= 180

z=50 °=y,

x=130°

Answer 2

Question:

In this figure, AB || CD and EF is a transversal. Find the x, y and z, in the figure.

Given:

• AB || CD
• EF is a transversal.

To Find:

• x, y and z.

Solution:

By linear pair,

$\rightarrow\mathsf{{130}^{o}+z={180}^{o}}$

$\rightarrow\mathsf{z={180}^{o}-{130}^{o}}$

$\rightarrow\mathsf{z={50}^{o}}$

Now, By Corresponding angles,

$\rightarrow\mathsf{{130}^{o}=x}$

Also,

$\dashrightarrow\mathsf{z=y}$

$\dashrightarrow\mathsf{{50}^{o}=y}$

Hence, value of x, y and z are 130°, 50° and 50° respectively.

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