Question

A ray struck on plane mirror AB at an angle of incidence 50 is reflected back and strikes mirror BC placed perpendicular to the first mirror.what will be the angle of reflection at the second mirror

Answer 1

$\bold{\underline{SOLUTION}:}$

$\textbf{Law Of Reflection}$

$\boxed{\angle i = \angle r}$

$\textsf{So, A = B = 50 degree}$

$\textsf{Since B = C (Alternate angle)}$

So, C = 50°

$\textsf{Since C = D therefore D = 50}$

$\mathsf{Hence\:second\:reflection\:angle\:is\:50 \degree}$

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Note

Since two mirrors are perpendicular that's why normals drawn to them will be parallel to each other.

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$\huge{\Longrightarrow{\boxed{\bold{\underline{50 \degree}}}}}$

Concept

Use lines and angle conceot of mathematics specially parallel lines.