Question

if you know that then please rply me show this with method and statement if enyone answer anything else then I will report the answers ​

Answer 1

Answer:

5. (a) 60 , 120

6. (c) 20

Step-by-step explanation:

5. FA || BC

 x = 60 (∵ x and 60 are alternate interior angles )

   DE || BC

 y = 120 (∵ y and 120 are alternate interior angles )

6. 6x + x + 2x = 180

   9x = 180

    x = 20

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Answer 2

Question - 5

In the figure, find the value of x and y respectively

Answer :-

Required to find :-

• Values of x and y

Solution :-

From the figure we can conclude that ;

AF || BC

DE || BC

AB || CD

∠BCD = 120° , ∠BAF = 60°

we need to find the values of x and y

Let's consider ;

AB || BC , BC is a transversal

So,

∠ABC + ∠BCD = 180°

[ Reason : Interior angles on the same side of the transversal ]

x + 120° = 180°

x = 180° - 120°

x = 60°

Hence,

∠ABC = x = 60°

However, this value can be verified because since AF || BC . Let's take AB as a transversal .

This implies ;

=> ∠ABC = ∠FAB

[ Reason :- Alternate interior angles ]

=> ∠ ABC = 60°

Hence verified .

This enables us to find the value of y .

Consider BC || DE , CD is a transversal .

∠BCD = ∠CDE

[ Reason : Corresponding angles ]

∠CDE = 120°

Hence,

∠CDE = y = 120°

Therefore,

Value of x , y = 60° , 120°

Option - a is correct

$\rule{400}{4}$

Question - 6

In the figure , if AOB is a straight line , then find the value of x .

Answer :-

Given :-

AOB is a straight line

Required to find :-

• The value of x ?

Solution :-

Given data :-

AOB is a straight line .

we need to find the value of x ?

As we know that ;

180° = Straight angle

This implies,

The sum of all angles on a straight line will add up to 180°

So,

6x + 2x + x = 180°

[ Reason : AOB is a straight line ]

9x = 180°

x = 180°/9

x = 20°

Therefore ,

Value of x = 20°

option - c is correct