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3) Find the measure of angle A.


3) Find the measure of angle A. ​-example-1
User Alexandr Lazarev
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1 Answer

23 votes
23 votes

Answer:

60

Explanation:

First set up your equation

All triangles have angles that add up to 180, this means that you can make an equation where all your sides = 180

here is the equation: 7x-3+9x-1+40= 180 (i just wrote all the sides we can see)

Then you'll want to solve for x

7x-3+9x-1+40= 180

first combine like terms. We have a 7x and a 9x, so add them together

This will give you 16x-3-1+40=180

Now since your plain numbers (no variable) are on the same side of the = sign, you can just deal with them now. You can do -3-1+40 which is 36.

Now you have 16x+36=180

Now you'll want to take 36 from both sides. 36 is positive right now so you should do the opposite and subtract it from both 180, and itself.

This leaves you with: 16x=144

You have 16x which is the same as 16 times x. You want to do the opposite again. The opposite of multiplying is dividing so divide 144 by 16. This gives you 9 which is your x value.

Now one last thing. to get A on the triangle you can plug your X value (9) into the equation it gave you (7x-3)

this looks like 7(9)-3. 7 times 9 is 63. 63 -3 is 60.

(you can check your answer by plugging 9 into the other equation and adding everything up. it will equal 180)

User Grufas
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