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Sagot :

Answer:

12

Step-by-step explanation:

this is very simple. since the angles are opposite the intersection of two lines, you know they must be equal.

therefore:

97 = 8t +1

solve for t:

t = 12

Answer:

t = 12

Step-by-step explanation:

1. Because ∠(8t+1) and ∠97 are vertical angles, that means they're congruent.

2. To find t, we can write the equation: 8t + 1 = 97.

3. (Solving)

Step 1: Subtract 1 from both sides.

  • [tex]8t + 1 - 1 = 97 - 1[/tex]
  • [tex]8t = 96[/tex]

Step 2: Divide both sides by 8.

  • [tex]\frac{8t}{8} = \frac{96}{8}[/tex]
  • [tex]t = 12[/tex]

Therefore, t = 12.