Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, \(2t+(t + 47)+(t+49)=180\).

Step2: Combine like - terms

Combine the \(t\) terms and the constant terms: \((2t+t + t)+(47 + 49)=180\), which simplifies to \(4t+96 = 180\).

Step3: Isolate the variable term

Subtract 96 from both sides of the equation: \(4t=180 - 96\), so \(4t=84\).

Step4: Solve for \(t\)

Divide both sides by 4: \(t=\frac{84}{4}=21\).

Answer:

\(21\)