If S_1 and S_2 are two straight lines such th | vedclass

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(A) Let the angle between the two lines $S_1$ and $S_2$ be $	heta$.When $S_1$ is reflected in $S_2$,the angle between the reflected line $S_1'$ and $

Vedclass · Accepted Answer

$\frac{\pi}{3}$

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(A) Let the angle between the two lines $S_1$ and $S_2$ be $	heta$.When $S_1$ is reflected in $S_2$,the angle between the reflected line $S_1'$ and $S_2$ is $	heta$.When $S_2$ is reflected in $S_1$,the angle between the reflected line $S_2'$ and $S_1$ is $	heta$.For the reflected lines $S_1'$ and $S_2'$ to coincide,the total angle covered by the lines must be $\pi$ radians.Specifically,the angle between $S_1'$ and $S_2'$ is $3	heta = \pi$.Therefore,$	heta = \frac{\pi}{3}$.

If $S_1$ and $S_2$ are two straight lines such that the reflection of $S_1$ in $S_2$ and the reflection of $S_2$ in $S_1$ coincide,the angle between $S_1$ and $S_2$ is equal to?

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