Question

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

Step1: Use the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A = 43^{\circ}\), \(B=31^{\circ}\), and \(C = t\). Then, according to the formula \(A + B + C=180^{\circ}\).

Step2: Solve for \(t\)

Substitute \(A = 43^{\circ}\) and \(B = 31^{\circ}\) into the equation \(43^{\circ}+31^{\circ}+t = 180^{\circ}\). First, calculate \(43 + 31=74\). So the equation becomes \(74^{\circ}+t=180^{\circ}\). Then, \(t=180^{\circ}-74^{\circ}\).

Answer:

\(t = 106^{\circ}\)