If a line makes angles $120^{\circ}$ and $60^{\circ}$ with the positive directions of $X$ and $Z$ axes respectively,then the angle made by the line with the positive $Y$-axis is (in $^{\circ}$)

The direction cosines of the line $x = y = z$ are

$A$ ray makes angles $\frac{\pi}{3}$ and $\frac{\pi}{4}$ with $Y$ and $Z$-axes respectively. Then,the value of the sine of the angle made by the ray with $X$-axis is

If the direction cosines $(l, m, n)$ of two lines are connected by the relations $l+m+n=0$ and $lm=0$, then the angle between those lines is

$A$ line makes a $45^{\circ}$ angle with the positive $X$-axis and makes equal angles with the positive $Y$-axis and $Z$-axis respectively. The sum of the three angles which the line makes with the positive $X$-axis,$Y$-axis,and $Z$-axis is: (in $^{\circ}$)

If the direction cosines of two lines are such that $l+m+n=0$ and $l^2+m^2-n^2=0$, then the angle between them is