Step 1: Find the sum of the interior angles
Use this formula: 180 x (n - 2)
n is the number of sides of the polygon
Work:
180 x (4 - 2)
180 x 2
360
Step 2: Find the angle right above the 94 degree angle
The entire angle (a circle) is equal to 360 degrees. To find the part we're looking for (inside of the polygon), we need to subtract the angle we already know from 360.
Work:
360 - 94
266
Step 3: Set up an equation to find the missing angle p
We now know every angle except p! And we know the sum of the interior angles. Knowing this information makes it really easy to set up an equation.
360 = 12 + 75 + 266 + p
360 = 353 + p
p = 7 degrees
Does this answer make sense?
Yes! Although the drawing may not be to scale, it is very possible that angle p could be 7 degrees because of how 12 degrees looks on this graph.
Hope this helps!! :)