Question

What is value of x?



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x =

Answer 1

The bisector divides the line BC in the following ratio.

(x + 8) / 10 = (2x - 5) / 14 Cross Multiply

14(x + 8) = 10(2x - 5) Remove the brackets.

14x + 112 = 20x - 50 Subtract 14x from both sides . Add 50 to both sides

112 + 50 = 20x - 14x Collect like terms

162 = 6x Divide by 6

x = 27