Question

find the value of x in the following figure , if lines p and q are parallel
I want step by step explanation ​

Answer 1

Answer:

In the given fig.,

p∥q

Therefore,

180°−2x=70°

⇒2x=180°−70°

⇒x=

2

110°

=55°

Hence the value of x is 55°.

Answer 2

Answer:

x = 45

Step-by-step explanation:

see as we can see the angle 120 degree and another angle 2x + 30 degree (so these two angles would be equal as these angles are alternate interior angles)

So we want answer as 120 so we will form the quotient as 2x + 30 degree = 120

so now we will solve this equation

2x= 120-30

2x=90

x=90÷2

x=45

hence the value of x is 45

we can check and verify our answer by putting the value of x in the above equation and we should get 120 as it is alternate interior angles and they should be equal

So our x we found was 45

so the equation was 2x + 30 degree

now let's put 45 instead of x

2(45) +30

90 +30

120

hence we rechecked our answer and got 120 and it is matching with value of x , hence this is the answer