Question

solve for the value of t.
answer attempt 1 out of 2
t =

Explanation:

Step1: Set up the equation

Since the two angles \((2t - 4)^{\circ}\) and \((5t+2)^{\circ}\) are supplementary (they form a linear - pair), their sum is \(180^{\circ}\). So, \((2t - 4)+(5t + 2)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2t+5t-4 + 2=180\), which simplifies to \(7t-2 = 180\).

Step3: Solve for \(t\)

Add \(2\) to both sides of the equation: \(7t-2+2=180 + 2\), so \(7t=182\).
Divide both sides by \(7\): \(t=\frac{182}{7}\).

Answer:

\(t = 26\)