Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(41 + 99+40t=180\).

Step2: Simplify the left - hand side of the equation

First, add 41 and 99: \(41 + 99=140\). The equation becomes \(140 + 40t=180\).

Step3: Isolate the term with \(t\)

Subtract 140 from both sides of the equation: \(40t=180 - 140\). So, \(40t = 40\).

Step4: Solve for \(t\)

Divide both sides of the equation by 40: \(t=\frac{40}{40}=1\).

Answer:

\(1\)