Question

a triangle has interior angle measures of 69°, t + 15°, and 4t. what is the value of t? write your answer as an integer or as a decimal rounded to the nearest tenth. t = \boxed{\space}° submit

Explanation:

Step1: Recall triangle angle sum

The sum of interior angles of a triangle is \(180^\circ\). So, we set up the equation: \(69 + (t + 15) + 4t = 180\).

Step2: Simplify the left side

Combine like terms: \(69 + 15 + t + 4t = 180\) → \(84 + 5t = 180\).

Step3: Solve for t

Subtract 84 from both sides: \(5t = 180 - 84 = 96\). Then divide by 5: \(t=\frac{96}{5}=19.2\).

Answer:

\(19.2\)