Question

question
solve for the value of t.
(9t+3)°
(4t-5)°
answer attempt 1 out of 2
t =
submit answer

Explanation:

Step1: Identify angle relationship

The two angles \((9t + 3)^\circ\) and \((4t - 5)^\circ\) are supplementary (they form a straight line, so their sum is \(180^\circ\)). So, we set up the equation: \((9t + 3)+(4t - 5)=180\).

Step2: Combine like terms

Combine the \(t\)-terms and the constant terms: \(9t + 4t+3 - 5 = 180\), which simplifies to \(13t - 2 = 180\).

Step3: Solve for \(t\)

Add 2 to both sides: \(13t=180 + 2=182\). Then divide both sides by 13: \(t=\frac{182}{13}=14\).

Answer:

\(t = 14\)