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lana [24]
3 years ago
9

I don’t understand plz help

Mathematics
1 answer:
9966 [12]3 years ago
4 0
Explaining the question, you want to find the x-value by setting up this equation.

(3x-28) + 90 + (66-x) = 180

(3x-28) and (66-x) - When you find x, inputting the actual numerical value of x will result in finding the degree of the angle the expression is in.

90 - 90 is the implied numerical degree behind a square in between two lines of an angle.

180 - 180 is the numerical degree implied behind a straight line in which you will find the expression on the left side of the equation will be equal to 180 once you find the x-value.

From here, you want to isolate the x by subtracting 90 from both sides.

(3x-28) + (66-x) = 90

Then you want to combine like terms.

2x + 38 = 90

You will receive this answer only because 28 is being SUBTRACTED from 3x just like x is being SUBTRACTED from 66. When an integer is being subtracted from another integer that integer can read as negative also. So when adding -28 to 66, or adding 3x to -x, in reality, you are subtracting 66 by 28 (66 - 28) and subtracting 3x by x (3x - x).

After this, you want to subtract 38 from both sides.

2x = 52

Divide 2x and 52 by 2 to isolate x since 2 is being MULTIPLIED by x.

x = 26

Then input 26 into the original equation to solve for 3x - 28.

3(26) - 28 = 50

Since you want to find the angle measure of <AOE, subtract 180 by 50 since <BOA and <AOE form line BE.

180 - 50 = 130

Then 130 is your answer.
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