An angle measuring (525n) ° is in standard position. For which value of n will the terminal side fall on the y-axis?

Answer with explanation:

Measure of an angle in standard Position = (525 n) °

Terminal side will fall on Y axis, if multiple of 525 will be an Odd multiple of 90.

Finding, multiple of 525, which have unit digit, 0

→525 * 2=1050

Sum of the digits = 1+0 + 5+0 = 6

Since sum of the digit is not divisible by, 9. So this angle that is, 1050° will not fall on y axis.

→525*4=2100

Sum of the digits = 2+1+0+0=3

Since sum of the digit is not divisible by, 9. So this angle that is, 2100° will not fall on y axis.

→525 * 6=3150°

Sum of the digits = 3+1 + 5+0 = 9

Since sum of the digit is divisible by, 9. So this angle that is, 3150° will not fall on y axis.

So, for, n=6, the angle measuring (525 n) °, terminal side will fall on the y-axis.

N=6 is the answer ...