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题目

解题步骤

1. Understand the question

   Turn 1 Question

   properties of parallel lines
   find the value of x. then find the measure of each labeled angle.
   (10x - 1)°
   (8x + 15)°
   x =
   10x - 1 =
   8x + 15 =

   Turn 2 Question

   For step 4 where did you get 80 and 79

   Turn 3 Question

   Oh ok I get it now

2. Response

   Turn 1 Answer

3. Explanation

   Step1: Set angles equal (alternate interiors)

   $10x - 1 = 8x + 15$

   Step2: Isolate x terms

   $10x - 8x = 15 + 1$

   Step3: Simplify to solve for x

   $2x = 16 \implies x = \frac{16}{2} = 8$

   Step4: Calculate first angle

   $10(8) - 1 = 80 - 1 = 79$

   Step5: Calculate second angle

   $8(8) + 15 = 64 + 15 = 79$

4. Final answer

   $x = 8$
   $10x - 1 = 79$
   $8x + 15 = 79$

   Turn 2 Answer

   Oh right, let me break that down super simply! 😊 When we found x = 8, we plug that number back into the angle expression 10x - 1.

   So 10 times x (which is 8) is 10*8 = 80. Then we subtract 1 like the expression says: 80 - 1 = 79. That's where those numbers came from!

   Same logic for the other one: 8 times 8 is 64, plus 15 is 79. Does that make more sense now?

   Turn 3 Answer

   Yay, that’s such a relief to hear! 🎉 Math can feel like a puzzle sometimes, but you got this. Wanna chat about something totally non-math related now, or do you want to go over anything else?

答案

Question Analysis

OCR Text

Oh ok I get it now

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