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Guys, I’m giving you at least 100 points for you to answer to my last 4 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated! So guys, please listen up and pay attention to me without ignoring my last year’s math homework package from The Hung Vuong Learning Centre Incorporated for no reason! :D

The question #7 is a triangle has angle measures that are related as follows like this:
- The largest angle is 12 times the smallest angle.
- The middle angle is 5 times the smallest angle.
Please help me to find the measures of the angles.

Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D


Well anyways, guys, good luck on answering my math word problem question of my last 4 weeks of my math word problem homework package from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)

Respuesta :

mhanifa

Answer:

  • 120°, 50°, 10°

Step-by-step explanation:

Lets assume the smallest angle measure is x.

Then the largest angle is 12x and the middle angle is 5x.

We know that sum of interior angles of a triangle is 180°.

Set the following equation and solve for x:

  • 12x + 5x + x = 180
  • 18x = 180
  • x = 10

The smallest angle is 10°.

The largest angle is:

  • 12*10° = 120°

The middle angle is:

  • 5*10° = 50°
semsee45

Answer:

Smallest angle = 10°

Middle angle = 50°

Largest angle = 120°

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

Let x = smallest angle

Given

  • the largest angle is 12 times the smallest angle ⇒ 12x
  • the middle angle is 5 times the smallest angle ⇒ 5x

   x + 5x + 12x = 180

⇒ 18x = 180

⇒ x = 180 ÷ 18

⇒ x = 10

Smallest angle = x = 10°

Middle angle = 5x = 5 x 10 = 50°

Largest angle = 12x = 12 x 10 = 120°

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