Question

What is the value of E?

Answer 1

Hello!

∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:

∠E + 119 = 180

Now subtract 119 from both sides of the equation:

∠E = 61

We have now proven that ∠E is equal to 61 degrees.

I hope this helps!

Answer 2

Angles on one side of a straight line always add to 180°.

Therefore:
e + 119° = 180°    |subtract 119° from both sides
e = 61°

Other:
e = c = 61°
d = 119°