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Sonbull [250]
3 years ago
12

Can anyone please help me with this?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

  • This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.

2. (Solving)

Step 1: Combine like terms.

  • 6x + 20 = (x+4x)+(40-5)
  • 6x + 20 = 5x + 35

Step 2: Subtract 20 from both sides.

  • 6x + 20 - 20 = 5x + 35 - 20
  • 6x = 5x +15

Step 3: Subtract 5x from both sides.

  • 6x - 5x = 5x +15 - 5x
  • x = 15

Step 4: Check if solution is correct.

  • 6(15)+20=(15)+40+4(15)-5
  • 90 + 20 = 15 + 40 + 60 - 5
  • 110 = 55 + 60 - 5
  • 110 = 115 - 5
  • 110 = 110

3. Now, let's plug in 15 for 6x + 20:

  • 6(15)+20
  • 90+20
  • 110

Therefore, m∠QPT = 110°.

bonufazy [111]3 years ago
7 0
Answer:

120


explain..
i hope this helps
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