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 interior angles of a triangle is 180°. So, 41°+99° + 40t=180°.

Step2: Simplify the left - hand side

41 + 99+40t=140 + 40t. So, 140+40t = 180.

Step3: Isolate the variable term

Subtract 140 from both sides: 40t=180 - 140.
40t=40.

Step4: Solve for t

Divide both sides by 40: t = $\frac{40}{40}$.
t = 1.

Answer:

1