Answer:
64
Explanation:
Firstly, label the figure to avoid confusion (as shown in given picture)
let, the missing angle be z
here,
in ∆ BCD,
84 + 36 + x = 180 (bcz sum of angles of triangle)
or, x = 180 - 120
thus, x = 60
now,
x + y = 90 (being right angle)
60 + y = 90
or, y = 90 - 60
thus, y = 30
again,
in ∆ ABE,
y + 86 + z = 180 (sum of angles of triangle)
or, 30 + 86 + z = 180
or, z = 180 - 116
thus, z = 64
Therefore, the missing degree is 64.