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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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