Answer :
If, Mnop is a square, then the values of t and f if t = f will be t = [tex]17.5[/tex]° and f=[tex]12[/tex]°
Square:
There are many objects around us that have the shape of a square. Each square shape is identified by its equal sides and interior angles that are equal to 90°.
A square is a closed figure with four equal sides and the interior angles of the square are equal to 90°. A square can have a wide variety of properties.
- A square is a quadrilateral with 4 sides and 4 vertices.
- All four sides of a square are equal to each other.
- Opposite sides of a square are parallel to each other.
- The interior angle of the square at each vertex is 90°.
- The sum of all interior angles is 360°.
- The diagonals of the square bisect each other at an angle of 90°.
- The length of the diagonals is the same.
- Since the sides of a square are parallel, it is also called a parallelogram.
- The length of the diagonals in a square is greater than its sides.
- The diagonals divide the square into two congruent triangles.
According to the problem
4t+20=90
4t=90-20 = 70
t=(70/4)=17.5
Now,
t = 17.5 So,
7f+6=90
=> 7f=84
=>f = (84/7)=12
Therefore, the value of t = [tex]17.5[/tex]° and f=[tex]12[/tex]°
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