Question

the diagram shows a triangle. what is the value of t? t = □°

Explanation:

Step1: Apply triangle angle - sum theorem

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(35^{\circ}+3t + 2t=180^{\circ}\).

Step2: Combine like terms

Combine \(3t\) and \(2t\). We get \(35^{\circ}+5t = 180^{\circ}\).

Step3: Solve for \(t\)

Subtract \(35^{\circ}\) from both sides: \(5t=180^{\circ}- 35^{\circ}=145^{\circ}\). Then divide both sides by \(5\): \(t=\frac{145^{\circ}}{5}=29^{\circ}\).

Answer:

\(29\)