Question

solve for the value of t.

Explanation:

Step1: Identify angle sum

The three angles (6t + 6)°, 90°, and (7t - 7)° form a straight line, so their sum is 180°. Thus, \((6t + 6) + 90 + (7t - 7) = 180\).

Step2: Simplify the equation

Combine like terms: \(6t + 7t + 6 - 7 + 90 = 180\) → \(13t + 89 = 180\).

Step3: Solve for t

Subtract 89 from both sides: \(13t = 180 - 89 = 91\). Divide by 13: \(t = \frac{91}{13} = 7\).

Answer:

7