Question

solve for the value of t.
(9t+3)°
(4t-5)°
answer
t =

Explanation:

Step1: Set up the equation

The two angles \((9t + 3)^{\circ}\) and \((4t-5)^{\circ}\) are supplementary (they form a linear - pair, so their sum is \(180^{\circ}\)).
So, \(9t + 3+4t - 5=180\).

Step2: Combine like terms

Combine the \(t\) terms (\(9t+4t = 13t\)) and the constant terms (\(3 - 5=-2\)).
The equation becomes \(13t-2 = 180\).

Step3: Isolate the variable term

Add \(2\) to both sides of the equation.
\(13t-2 + 2=180 + 2\), which simplifies to \(13t=182\).

Step4: Solve for \(t\)

Divide both sides of the equation by \(13\).
\(t=\frac{182}{13}\).

Answer:

\(t = 14\)