Question

the diagram shows a triangle.
what is the value of t?
t = \square^\circ
submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(4t + 59^\circ + 81^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(4t + 140^\circ = 180^\circ\).

Step3: Solve for \(t\)

Subtract \(140^\circ\) from both sides: \(4t = 180^\circ - 140^\circ = 40^\circ\). Then divide by 4: \(t=\frac{40^\circ}{4}=10^\circ\).

Answer:

\(10\)