Chapter 1.5, Problem 33PPS

To determine

To calculate the value of angle

Answer to Problem 33PPS

  $\angle RMJ=37$

Explanation of Solution

Given information:

  

  $\angle RMI=106$

Let, angle of reflection be “x”

Since, the angle of reflection is equal to angle of incident. Therefore, angle of incident is also “x”

Substituting the values,

  $\angle RMI=x+x$

Substituting the values,

  $x+x=106$

On solving,

  $2x=106$

On solving,

  $x=53$

Hence,

  $\angle NMR=53$

Since, the normal is at 90°.

Hence,

  $\angle NMR+\angle RMJ=90$

Substituting the value,

  $53+\angle RMJ=90$

Shifting the values,

  $\angle RMJ=90-53$

On solving,

  $\angle RMJ=37$