Question

Need help with this problem

Answer 1

Since angleEFG and angleGFH are a linear pair, their sum is 180 degrees.

2n+23+5n+24=180

7n+47=180

7n=133

n=19

Substituting n into the equations of the two angles will give:

angleEFG=2n+23

=2(19)+23

=61

angleGFH=5n+24

=5(19)+24

=119

Therefore, angleEFG is 61 degrees and angleGFH is 119 degrees.