Question

given: m∠elg = 124° prove: x = 28 complete the steps in the two - column proof.

Explanation:

Step1: Recall linear - pair property

The sum of measures of angles in a linear pair is 180 degrees. So for linear - pair ∠ELD and ∠ELG, we have $m\angle ELD + m\angle ELG=180$. This is the reason for step 4.

Step2: Apply subtraction property

Starting from the equation $2x + 124=180$ (from step 5), we subtract 124 from both sides of the equation.
$2x+124 - 124=180 - 124$.
Simplifying gives $2x = 56$. This is the statement for step 6.

Answer:

1. The sum of measures of angles in a linear pair is 180 degrees.
2. $2x=56$