The value of the x in the given geometry figure is 108° .
- When 2 lines ran into one another, then the other angles, shaped thanks to intersection are referred to as vertical angles or vertically opposite angles.
- A try of vertically opposite angles are invariably capable one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to one hundred eighty degrees.
- When 2 lines ran into, four angles are shaped. There are 2 pairs of distant angles. These pairs are referred to as vertical angles.
- Vertical angles are a try of non-adjacent angles shaped by the intersection of 2 straight lines. In straightforward words, vertical angles are set across from each other within the corners of the "X" shaped by 2 straight lines. they're conjointly referred to as vertically opposite angles as they're settled opposite to every alternative.
The labelled diagram of the figure is given below.
From the figure , we can see that ∠OEA = ∠BOF as they are vertically opposite angles .
Hence ∠BOF = x
∠OFT and ∠BOF are linear pair , so on adding them , we will get sum 180°
∠OFT + ∠BOF = 180°
72° + x = 180°
x = 108°
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