Question

what is the value of t? t =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(73^{\circ}+(4t + 44)^{\circ}+43^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(73 + 44+43+4t=180\). Then, \(160 + 4t=180\).

Step3: Solve for \(t\)

Subtract \(160\) from both sides: \(4t=180 - 160\). So, \(4t = 20\). Divide both sides by \(4\): \(t=\frac{20}{4}\).

Answer:

\(t = 5\)