For this case as MNOP is a square then the angles of each vertex are equal to 90 degrees.
Therefore, we have the following equations:
[tex] 4t + 20 = 90
7f + 6 = 90
[/tex]
From these equations, we can clear the values of the unknowns.
For equation 1 we have:
[tex] 4t + 20 = 90
4t = 90 - 20
4t = 70
[/tex]
[tex] t = \frac{70}{4}
t = 17.5
[/tex]
For equation 2 we have:
[tex] 7f + 6 = 90
7f = 90 - 6
7f = 84
[/tex]
[tex] f = \frac{84}{7}
f = 12
[/tex]
Answer:
The values of t and f are given by:
[tex] t = 17.5
f = 12 [/tex]
