Given info:-In the given figure, points A,B and C are collinear or they are straight line. Where angle ABC , angle DBE and EBC are in formed of linear pair that mean they are 180. And here we are going to find out the value of X?
angle ABD+ angle DBE + angle EBC = 180° {Angles of a linear pair]
⇛(8x-15)°+(58)°+(3x+25)° = 180°
Remove all the brackets in LHS.
⇛8x° - 15° + 58° + 3x° + 25° = 180°
⇛11x° - 15° + 58° + 25° = 180°
⇛11x° - 15° +83° = 180°
⇛11x° + 68° = 180°
⇛11x° = 180° - 68°
⇛11x° = 112
Shift the number 11° from LHS to RHS.
⇛x = 112÷11 ⇛112/11 =
The value of x = 10.181818.. = 10.18 bar
Additional comment:
The interior angles on the same side to the transversal are supplementary.
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