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mixer [17]
4 years ago
5

ANSWER NEEDED ASAP!!!

Mathematics
2 answers:
Molodets [167]4 years ago
6 0

Answer:

<h2>D) 28</h2>

Step-by-step explanation:

We know: the sum of the measures of triangle angles is 180°.

Therefore we have the equation:

2x+(3x-10)+50=180\\\\(2x+3x)+(-10+50)=180\\\\5x+40=180\qquad\text{subtract 40 from both sides}\\\\5x+40-40=180-40\\\\5x=140\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\x=28

Leni [432]4 years ago
5 0

The sum of all the angles of a triangle is 180°

This means you have to add all the angles together and set it equal to 180. Here is the formula:

50 + 2x + 3x - 10 = 180

Now you solve for x

Step 1: Combine like terms

(50 + (-10) ) + (2x + 3x) = 180

40 + 5x = 180

Step 2: Subtract 40 to both sides

(40-40) + 5x = 180 - 40

5x = 140

Step 3: Isolate x by dividing 5 to both sides

\frac{5x}{5}  = \frac{140}{5}

x = 28

Check: 50 + 2(28) + 3(28) - 10 = 180

50 + 56 + 84 - 10 = 180

180 = 180

Therefore your value of x is 28!

Hope this helped!

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