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Alik [6]
3 years ago
9

How to find the measure of a triangle?

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0
Is it 1/2×b×h
to find the area
or
base×height
AleksAgata [21]3 years ago
6 0

Hi there! :)

<u>Answer:</u>

The answer is <u>D. 83°</u>


Step-by-step explanation:

You should know that the interior angles of a triangle always add up to 180°.

So, what you will need to do, is add all 3 angles together and create an equation (equal to 180). Then you need to solve this equation by isolating "x":

(8x + 12) + (55 - 3x) + (10x + 23) = 180

Get rid of all the parentheses

8x + 12 + 55 - 3x + 10x + 23 = 180

Add all similar terms together

8x - 3x + 10x = <u>15x</u>

12 + 55 + 23 = <u>90</u>

15x <u>+ 90</u> = 180

Subtract "90" from each side of the equation → 180 - 90 = 90

<u>15</u>x = 90

Divide each side of the equation by "15" → 90 ÷ 15 = 6

<u>x = 6</u>


Since you now know that the value of "x" is 6, you can now find the measure of the angle at George's position by replacing the "x" by 6:

10x + 23 = Measure of the angle at George's position

<u>10(6)</u> + 23

Multiply 10 by 6 → 10 × 6 = 60

<u>60 + 23</u>

Add 60 and 23 together → 60 + 23 = 83

<u>83</u> = Measure of the angle at George's position


There you go! I really hope this helped, if there's anything just let me know! :)

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<span><u><em>Answer:</em></u>
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<u><em>Explanation:</em></u>
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Andres was cutting some boards to build a bookshelf. He has a piece of wood that is 10 3/4 feet long. He wants to cut a piece th
ozzi

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What is the value of x?<br><br> Enter your answer in the box.<br> units<br><br> ___Units
kotykmax [81]

The value of x is 28 .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three angles and three vertices.

According to the Proportionality Theorem

When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.

As in the given figure DC is parallel to AP ,

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brainly.com/question/2773823

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2 years ago
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