QUESTION IMAGE
Question
solve for the value of t.
(6t+6)° (7t-7)°
answer attempt 1 out of 2
t =
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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:
\(13t = 180 - 89\)
\(13t = 91\).
Divide by 13:
\(t = \frac{91}{13} = 7\).
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\(t = 7\)