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Artemon [7]
3 years ago
7

The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

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Step-by-step explanation:

Step 1- Distribute into the parenthesis.

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Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

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Step 4- Subtract the smallest variable to both sides.

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Step 5- Subtract 6 to both sides.

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Step 6- Divide both sides by 15.

<u>15</u>= <u>15n</u>

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