Question

I’m not good with geometry please help

Answer 1

The value of t is 41

Explanation:

The figure is 5 sided polygon.

The sum of interior angles of 'n' sided polygon is given by,

=
`180(n-2) degrees`

here, n=5,

thus,
`180(5-2) = 180(3) = 540 degrees`

All the given angles have linear pair in the polygon.

`(180-2t)+(180-3t)+(180-42)+(180-52)+(180-61) = 540`

`5t = 205`

Thus, t = 41