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larisa86 [58]
3 years ago
6

(Please Help) Use your knowledge of the Triangle Sum Theory to solve for x. Then solve for L.

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

X= 15

K=45

Step-by-step explanation:

The Triangle Sum Theory means that every interior angle of a triangle sums up to 180. My first approach was to put 169 as x but that isn’t correct. That is because a triangle’s smallest angles have to add up to be more than the biggest angle. Ex (10, 5, 7 that is a triangle because the sum of 5+7 is more than 10) So as you can see there are x’s next to the other numbers. That is because x needs to be able to multiply with the other numbers and stand on it’s own and add up to 180. So this would be the equation: X+8•X+3•X=180. You should find that 15 makes everything add up to 180. Now knowing x is 15 now we know that 3x is equal to 45. So k=45 That is how you solve this tricky question. Hope this helps! ❤️

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Step 2: Flip the equation.

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Step 3: Add 30 to both sides.

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