In linear pairs and vertical angles

from the figure we get x = 28

Step-by-step explanation:

Proof is given below

Statements                                        Reason

1). <ELG = 124                             Given

2). <ELD = 2x                               Given

3).  <ELG and ELD are linear       Definition of linear pair

    a pair

4).  m<ELD + m<ELG = 180       Sum of linear pair angles 180

5).   2x + 124 = 180                      Substitution

6).   2x = 180 - 124 = 56               Subtraction property

7).  x = 28                                      Division property