Answer:
[tex]w = 52[/tex]
Step-by-step explanation:
Given
See attachment for intersecting lines
Required
Find w
Using the horizontal line as a point of reference, the blank angle between w and 76 equals w.
This is so because it corresponds to angle w, at the bottom of the horizontal line.
So, to find w, we make use of:
[tex]w + w + 76 = 180[/tex] --- angle on a straight line
Collect like terms
[tex]w + w = -76 + 180[/tex]
[tex]2w = 104[/tex]
Solve for w
[tex]w = \frac{104}{2}[/tex]
[tex]w = 52[/tex]
