Question

In fig 4vif AB parallel to CD then find the value of x and y . Answer with proper explation . Only moderators , Branily stars and other best user .​

Answer 1

Answer:

❒Value of X is 130°

❒Value of Y is 130°

Step-by-step explanation:

According to the Question

It is given that

• ∠AON = 50°
• ∠PKC = 130°

we have to calculate the value of x and y .

Firstly we calculate the value of x .

As we know that Sum of linear pair of angles is 180°

➻ ∠AON + X = 180° ⠀⠀⠀⠀⠀⠀⠀⠀⠀--(by Linear Pair)

by putting the value we get

➻ 50° + X = 180°

➻ X = 180° - 50°

➻ X = 130°

• Hence, the Value of X is 130° .

Now,

calculating the value of Y .

∠CKP = ∠ DYO⠀⠀⠀⠀⠀⠀⠀⠀--(by alternate angle)

By putting the value we get

➻ 130° = Y

➻ Y = 130°

• Hence, the value of Y is 130°

Answer 2

Answer :

• Value of x is 130°
• Value of y is 130°

Step-by-step explanation :

Given :

• AB || CD
• ∠M = 50°
• ∠N = 130°

To Find :

• Value of x and y?

Solution :

Method (1)

We know that vertically opposite angles are equal and here we have two vertically opposite angles i.e, ∠N and y. Therefore,

➡ ∠N = y

➡ 130° = y

➡ y = 130°

Now, also we know that alternate interior angles are equal and here we have two alternate interior angles i.e, y and x. Therefore,

➡ y = x

➡ 130° = x

➡ x = 130°

Hence,

• Value of x is 130°
• Value of y is 130°

Method (2)

➡ x + ∠M = 180° – (Linear Pair)

➡ x + 50° = 180°

➡ x = 180° - 50°

➡ x = 130°

Now, we know that corresponding angles are equal and here we have two corresponding angles ∠M and ∠O. Therefore,

➡ ∠M = ∠O

➡ 50° = ∠O

➡ ∠O = 50°

Now,

➡ ∠O + y = 180° – (Linear Pair)

➡ 50° + y = 180°

➡ y + 50° = 180°

➡ y = 180° - 50°

➡ y = 130°

Hence,

• Value of x is 130°
• Value of y is 130°

Learn More :

• Parallel lines •

The lines which do not meet at any point i.e, the lines which do not intersect each other or touch each other are came to be known as parallel lines.

• Transversal •

The line which cuts or intersects two or more than two parallel lines is came to be known as transversal.

Related Question :

• In the following figure, m is parallel to n and t is the transversal. Find the value of x.

Answer :

• brainly.in/question/45655242

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