Explanation:
11.
As all the exterior angles of a pentagon add up to 360, [ because exterior angle of a polygon = n(360/n) where n = no. Of sides, As the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.]
THEN,
56 + 2x + 85 + 57 + 4x = 360
6x + 198 = 360
6x = 360 - 198
X = 162/6 = 27
Ans : x = 27
12.
Let the missing angle be x,
As we know that all exterior angles in a pentagon add up to 360 ( Write the same thing written above),
Then,
83 + 83 + 26 + 46 + x = 360
238 + x = 360
X= 360 - 238
X = 122
Answer : the fifth exterior angle = 122°
Hope this helps