Question

mnop is a square. what are the values of t and f?
m n
p o

Explanation:

Step1: Use the property of a square's angles

All angles in a square are \(90^{\circ}\). So, \(4t + 20=90\) and \(7f + 6 = 90\).

Step2: Solve for \(t\)

For \(4t+20 = 90\), subtract \(20\) from both sides: \(4t=90 - 20\), so \(4t=70\). Then divide by \(4\): \(t=\frac{70}{4}=17.5\).

Step3: Solve for \(f\)

For \(7f + 6=90\), subtract \(6\) from both sides: \(7f=90 - 6\), so \(7f = 84\). Then divide by \(7\): \(f=\frac{84}{7}=12\).

Answer:

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