Question

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

Explanation:

Step1: Recall triangle angle sum

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

Step2: Combine like terms

Simplify the left - hand side: \(5t+35^\circ = 180^\circ\).

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:

\(29\)