Question

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

Explanation:

Step1: Use the triangle - angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(76^{\circ}+50^{\circ}+6t = 180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(76\) and \(50\): \(76 + 50=126\). The equation becomes \(126+6t = 180\).

Step3: Solve for \(t\)

Subtract \(126\) from both sides: \(6t=180 - 126\). Then \(6t = 54\). Divide both sides by \(6\): \(t=\frac{54}{6}\).

Answer:

\(t = 9\)