aiden214589 aiden214589
  • 07-04-2022
  • Mathematics
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What is the value of x

What is the value of x class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 07-04-2022

x = 20°

The total sum of interior angles in a triangle is 180°

  • x + 5 + 7(x) - 5 + x = 180°
  • x + 7(x) + x + 5 - 5 = 180°
  • 9(x) = 180°
  • x = 20°
Answer Link
semsee45
semsee45 semsee45
  • 07-04-2022

Answer:

D)  x = 20

Step-by-step explanation:

Theorem

The sum of the interior angles of a triangle is 180°

Solution

Add the angles and equate to 180:

⇒ (x + 5) + (7x - 5) + x = 180

Collect like terms:

⇒ x + 7x + x + 5 - 5 = 180

Combine like terms:

⇒ 9x = 180

Divide both sides by 9:

⇒ x = 20

Answer Link

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