Question

In the same diagram of the staircase railing, what is the value of n? (Picture included)

Answer 1

Hello,

Angle BCH and CHJ are alternate-interior ( and have the same measure)

82+30=3n+7
==>3n=105
==>n=35

Answer 2

Solutions 

We know that Angle BCH and CHJ have the same measures. 

Calculations. 

Solve for variable n 

$82+30=3n+7 3n=105 n=35$