Question

In the given figure angle XOY=2x-9. What the value of x would make YOZ a line

Answer 1

If
$yoz \: is \: a \: line \\ yoz = 180 \\ but \: yoz = yox + xoz \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5x + 2x - 9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 9 \\ therefore \: 7x - 9 = 180 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x =27$
x=27
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Answer 2

for YOZ is a line
(2x-9)+(5x) = 180
7x=189
then x= 189/7
I think the question may be
find x would make XOZ a line
then 2x-8= 180
then x = 94
if YOX would make line 5x = 180 then x = 36