Question

triangle sum equation =
x = degrees
measure of ∠t = degrees

Explanation:

Step1: Use triangle angle - sum property

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(x+(x + 15)+3x=180\).

Step2: Simplify the equation

Combine like - terms: \((x+x + 3x)+15=180\), which gives \(5x+15 = 180\).

Step3: Solve for \(x\)

Subtract 15 from both sides: \(5x=180 - 15=165\). Then divide both sides by 5: \(x=\frac{165}{5}=33\).

Step4: Find the measure of \(\angle T\)

Since \(\angle T = 3x\), substitute \(x = 33\) into \(3x\). So, \(\angle T=3\times33 = 99^{\circ}\).

Answer:

Triangle sum equation \(=x+(x + 15)+3x=180\)
\(x = 33\) degrees
Measure of \(\angle T=99\) degrees