Question

applying the definition of a square
mnop is a square. what are the values of t and f?
$t = square$
$f = square$

Explanation:

Step1: Use the property of square angles

All angles in a square are \(90^{\circ}\). So, for \(\angle M=(4t + 20)^{\circ}\), we set up the equation \(4t+20 = 90\).
Subtract \(20\) from both sides: \(4t=90 - 20\), so \(4t=70\).
Divide both sides by \(4\): \(t=\frac{70}{4}=17.5\).

Step2: Solve for \(f\)

For \(\angle N=(7f + 6)^{\circ}\), set up the equation \(7f+6 = 90\).
Subtract \(6\) from both sides: \(7f=90 - 6\), so \(7f=84\).
Divide both sides by \(7\): \(f = 12\).

Answer:

\(t = 17.5\), \(f = 12\)