Question

what is the value of t? t - 28° t - 32° t + 32°

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Also, an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $(t - 28)+(t - 32)=t + 32$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $t-28+t - 32=2t-60$. So the equation becomes $2t-60=t + 32$.

Step3: Solve for t

Subtract t from both sides: $2t-t-60=t - t+32$, which simplifies to $t-60 = 32$. Then add 60 to both sides: $t=32 + 60$.

Answer:

$t = 92$