Question

the diagram shows a triangle. 46° 96° 19t what is the value of t? t = □° submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(46^\circ + 96^\circ + 19t = 180^\circ\).

Step2: Simplify the left side

Calculate \(46 + 96 = 142\), so the equation becomes \(142 + 19t = 180\).

Step3: Solve for \(t\)

Subtract 142 from both sides: \(19t = 180 - 142 = 38\). Then divide by 19: \(t = \frac{38}{19} = 2\).

Answer:

\(t = 2\)