Question

what is the value of t? triangle with angles 30°, 12t, v+14°, and exterior angle 14t+10° t = \circ

Explanation:

Step1: Identify the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(14t + 10=30 + 12t\).

Step2: Solve for t

Subtract \(12t\) from both sides: \(14t-12t + 10=30+12t - 12t\), which simplifies to \(2t+10 = 30\).
Then subtract 10 from both sides: \(2t+10 - 10=30 - 10\), so \(2t=20\).
Divide both sides by 2: \(t=\frac{20}{2}=10\).

Answer:

\(10\)