Statements
Reasons

1. m∠ELG = 124

1. given

2. m∠ELD = 2x

2. given

3. ∠ELG and ∠ELD are
a linear pair.

3. definition of a linear pair

4. m∠ELD + m∠ELG = 180

4. ♣

5. 2x + 124 = 180

5. substitution

6. ♦

6. subtraction property

7. x = 28

7. division property