Answer :

Finding the value of x:

The angles (x+95) and (4x-10) are corresponding angles, therefore they are both equal/the same to each other.

As they are equal to each other, you can make the expressions equal to each other to solve for x.

x + 95 = 4x - 10

95 = 3x - 10

105 = 3x

x = 105/3

x = 35

So the value of x is 35.


To find angle ABC:

You can see that angle ABC and (4x-10) are co-interior angles, as they both lie on parallel lines and share another line.

As they are co-interior, the sum of both angles is 180.

Using x = 35 from the previous answer to find the angle (4x-10):

4(35) - 10 = 130

Working out angle ABC:

180 - 130 = 50

So angle ABC must be 50.

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Rewritten by : Barada