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Find the degree measure of each angle in the triangle

Find the degree measure of each angle in the triangle-example-1
User JPD
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1 Answer

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Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

- 4 - 4

11x = 176

/ 11 /11

x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°