Answer:
The value of t is 41
Step-by-step explanation:
The figure is 5 sided polygon.
The sum of interior angles of 'n' sided polygon is given by,
= [tex]180(n-2) degrees[/tex]
here, n=5,
thus, [tex]180(5-2) = 180(3) = 540 degrees[/tex]
All the given angles have linear pair in the polygon.
[tex](180-2t)+(180-3t)+(180-42)+(180-52)+(180-61) = 540[/tex]
[tex]5t = 205[/tex]
Thus, t = 41
