Question

What is the value of x?

Enter your answer, as a decimal, in the box.

Answer 1

1. YT bisects angle T, so
.. VY/VT = KY/KT
.. 34/95.2 = (x -34)/168
.. 168*34/95.2 = x -34
.. 34 +168*34/95.2 = x = 94


2. The triangles are similar so
.. MB/MA = MP/MN
.. x/(71.5 -22) = 97.5/71.5
.. x = (71.5 -22)*(97.5/71.5)
.. x = 67.5


3. As before, the angle bisector creates a proportionality between segments on one side and segments on the other side.
.. (x +1)/58.8 = 35/49
.. x = 58.8*(35/49)) -1
.. x = 41