Answer:
36.33
Step-by-step explanation:
The given figure is pentagon
The sum of angles of polygon is (2n-4)*90 where n is number of sides of polygon
for pentagon number of sides is 5
thus, n = 5
\
sum of angles of pentagon = (2*5-4)*90 = 6*90 = 540
Given angles of pentagon
t, 149 , t+144, 3t -11 , t+40
Thus, sum of all these angles should be equal to 540
t + 149 + t+144 + 3t -11 + t+40 = 540
=> 6t + 322 = 540
=> 6t = 540 - 322 = 218
=> t = 218/6 = 36.33
Thus, t = 36.33
