Question

in the given figure , AB||CD, then find the value of X​

Answer 1

Answer:

Value of x is 100°

Step-by-step explanation:

To find : Value of x.

Construction : Construct a line PO which will be parallel to AB and CD.

Given that,

AB is parallel to CD.

∠OAB is 132°

And, ∠AOC or ∠O is 148°.

By co-interior angles :

⇒∠OAB + ∠AOP = 180°

⇒ 132° + ∠AOP = 180°

⇒ ∠AOP = 180° - 132°

⇒ ∠AOP = 48°

• ∠AOP + ∠POC = ∠O

⇒ 48° + ∠POC = 148°

⇒ ∠POC = 148° - 48°

⇒ ∠POC = 100°

Now, By Corresponding angles :

⇒∠POC = x

⇒ ∠POC = 100°

⇒ x = 100°

Thus,

Value of x is 100°.

Answer 2

Step-by-step explanation:

$\underline{\purple{\ddot{\Mathsdude}}}$

☆☆Answered by Rohith kumar maths dude :-

☆Here we will get the answer as

●The value of x is 100 degree.

Ok lets enter to your question :-

Here we should do the construction: -

☆☆Construction: - construct a line PO which is parallel to AB and CD.

And also given that,

AB is parallel to CD.

Triangle OAB is 135 degree

And triangle AOC is 148degree.

To get answer we should use

☆☆Co -interior angles: -

Triangle OAB+Triangle AOP=180degree.

132 degree +Triangle AOP=180degree.

Triangle AOP=48degree..

●

Triangle AOP+Triangle POC=Triangle O

48degree +Triangle POC= 148degree.

Triangle POC=148-48degree

Triangle POC=100 degree.

☆☆From the corresponding angles:-

Triangle POC=100degree.

●x=100degree.

☆☆Hope it helps u mate .

☆☆Thank you .