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Luden [163]
2 years ago
15

PLEASE HELP ME. ILL OFFER MANY POINTS

Mathematics
1 answer:
Alina [70]2 years ago
7 0

Answer:

<h3>   small angle: 24° ;  middle angle: 72° ;  large angle: 84°</h3>

Step-by-step explanation:

<u>x </u>  - the smallest angle

<u>3x</u>  - the middle angle

2x   - twice the smallest angle

3·3x   -  3 times the middle angle

twice the measure of the largest angle (the difference of 3 times the middle angle and twice the smallest angle):  3·3x - 2x = 7x

<u>7x÷2 = 3.5x</u>  - the largest angle

The sum of angles in any triangle is 180°, so:

x + 3x + 3.5x = 180°

7.5x = 180°           {divide both sides by 7.5}

x = 24°

small angle:   <u>x = 24°</u>

middle angle:  <u>3x = 3·24° = 72°</u>

large angle:    <u>3.5·24° = 84°</u>

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