contestada

Given: m∠ELG = 124° Prove: x = 28 3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees. Complete the steps in the two-column proof.

Respuesta :

mick7520

Answer:

♣: angle addition postulate

♦: 2x = 56

Step-by-step explanation:

akposevictor

Using the definition of linear pair angles, the value of x is proven to be: x = 28.

What is a Linear Pair?

A linear pair consists of two angles on a straight line which add up to 180°.

Given:

  • m∠ELG = 124°
  • m∠ELD = 2x

Thus:

m∠ELG + m∠ELD = 180° (linear pair)

Substitute

124 + 2x = 180

2x = 180 - 124

2x = 56

x = 56/2

x = 18

Therefore, using the definition of linear pair angles, the value of x is proven to be: x = 28.

Learn more about linear pair on:

https://brainly.com/question/13218054