Question

what is the value of t on the truss of the bridge? 55°

Explanation:

Step1: Recall angle - sum property of a right - triangle

In a right - triangle, the sum of the two non - right angles is 90°.

Step2: Calculate the value of \(t\)

Let the right - triangle have angles \(t\), 55°, and 90°. Using the angle - sum property of a triangle (\(A + B+C=180^{\circ}\) for a triangle with angles \(A\), \(B\), and \(C\)), for a right - triangle (\(C = 90^{\circ}\)), we have \(t+55^{\circ}+90^{\circ}=180^{\circ}\), or \(t + 55^{\circ}=90^{\circ}\). Then \(t=90^{\circ}-55^{\circ}\).

Answer:

\(35^{\circ}\)