Question

if AB is parallel to CD ,PQ is tge transversal find x


pls write full explaination ​

Answer 1

Step-by-step explanation:

Answer:-

Given that:-

• AB is parallel to CD
• PQ is the transversal

Concept:-

Applications of Parallel line properties

Let's Do!

Here, we can see that these are supplement of each other.

So, we can write:-

$x + 2x = 180$

$3x = 180$

$x = \dfrac{180}{3}$

$x = 60$

So, x is 60°. We can also find 2x now.

It will be 2×60 = 120°.

This wasn't applicable if these were not parallel lines. So, transversal cuts the line to make these angles.

Answer 2

Given

According to Diagram,

• AB ≈ CD and PQ is Transversal

We Find

Value of "X"

We Know

We Know that these are supplement of each other , So now equation is :-

$\sf \boxed {\red{ 2x + x = 180°}}$

According to the question

$\sf {2x + x = 180°}$

$\sf {3x = 180°}$

$\sf {x = \frac{180}{3} }$

$\sf {x = \cancel\frac{180}{3} }$

$\sf {x = 60° }$

So, Value is :-

☆ x = 60° × 1 = 60°

☆ 2x = 60° × 2 = 120°

Hence, Value of x is 60° and 2x is 120°

More Explanation

We know two parallel lines are cut by a transversal, then the pair of alternate interior angles are equal according to Converse of the Alternate Interior Angles Theorem.

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