Find the value of x. The diagram is not to scale. lines f and g are parallel.

Solution:

We know that

The lines f and g are parallel and two angles are on the same side and add upto 180 degrees.

Here we use the concept of cointerior angles.

So we can write it as

5x + (9x + 26) = 180°

By further calculation

14x + 26 = 180°

Now subtract 26 on both sides

14x + 26 - 26 = 180 - 26

14x = 154°

Dividing both sides by 14

x = 11

Therefore, the value of x is 11°.

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Find the value of x. The diagram is not to scale. lines f and g are parallel.

Summary:

The value of x is 11°. The lines f and g are parallel and two angles are on the same side and add upto 180 degrees.