Mathematics High School

The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?

The Ratio Of The Interior Angles Of A Triangle Is 4:5:7. What Are The Angle Measures?

Answers

Answer 1

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

Answer 2

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

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Answer:

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Step-by-step explanation:

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If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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d

Youth Group Trip
The youth group is going on a trip to an amusement park in another part of the state. The trip costs each
group member $150, which includes $85 for the hotel and
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passes. How much is the park per person?
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Angle 6 is equal to angle 7 so we can substitute angle 7 in for any equations that require angle six what we would want to do is (13x + 9)°+(5x + 9)°= 180°, then you would combine like terms which would then give you 18x+18=180 after this you want to isolate your variable by subtracting 18 from both sides which would give you 18x=162 then you would divide 162 by 18 to give you x=9 next to find angle 6 you would substitute x in the equation so it would be (5(9)+9) 5 multiplied by 9 then add 9 which would give you 45 + 9 which equals out to 54.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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13
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17
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19
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