Question

what is the value of t? t - 5° t + 35° t - 26° t =

Explanation:

Step1: Apply exterior - angle property of a triangle

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $t + 35=(t - 5)+(t - 26)$.

Step2: Simplify the right - hand side

$(t - 5)+(t - 26)=t - 5+t - 26=2t-31$. So the equation becomes $t + 35=2t-31$.

Step3: Solve for t

Subtract t from both sides: $t - t+35=2t - t-31$. This gives $35=t - 31$.

Step4: Isolate t

Add 31 to both sides: $35 + 31=t-31 + 31$. So $t = 66$.

Answer:

$66$