Answer with explanation:
Standard Position of the Angle =(468 n)°
We have to find that value of, n for which terminal side will fall on X axis, that is the angle should be multiple of 180°.
You must be thinking why not multiple of ,360°, because factors of 360 are , 90,180,and 360, in which , multiple of 90 falls on x and y axis ,and multiple of 180 ,falls on X axis only.So, instead of taking factors of 90 or 360, you should take multiple of 180° for which terminal side fall on the x-axis.
The Unit Digit of , (468 n)°,should be equal to 0, as it is divisible by number 180°.
For, n=5,
→468° × 5=2340°
So, 2340° , is divisible by 180°.
For, n=5, the terminal side ,the angle having Measure (468 n)°,will fall on the X axis.
