Question

solve for the value of t.
answer attempt 1 out of 3
t =

Explanation:

Step1: Recall angle - sum property

The sum of the angles in the given figure is 180° as they form a linear - pair with a right - angle. So, $(6t + 6)+90+(7t - 7)=180$.

Step2: Simplify the left - hand side

Combine like terms: $6t+7t+6 - 7+90 = 180$, which simplifies to $13t + 89=180$.

Step3: Isolate the variable term

Subtract 89 from both sides: $13t=180 - 89$, so $13t = 91$.

Step4: Solve for t

Divide both sides by 13: $t=\frac{91}{13}$.

Answer:

$t = 7$