Answer:
Explanation:
When an angle is bisected the opposite sides and the sides of the bisected angle are in a set ratio.
That translates into
(x + 8)/10 = (2x - 5)/14 Cross multiply
14* (x + 8) = 10* (2x - 5) Remove the brackets on both sides.
14x + 112 = 20x - 50 Subtract 14x from both sides.
112 = 20x - 14x - 50 Combine
112 = 6x - 50 Add 50 to both sides.
112+50 = 6x - 50 + 50 Combine
162 = 6x Switch
6x = 162 Divide by 6
x = 27