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Aloiza [94]
3 years ago
11

Calculate the value of 2x and 3x

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

2x + 3x + 140 = 360 (being complete turn angle)

5x + 140 = 360

5x = 360-140

5x = 220

x = 44

now 2x = 2 × 44 = 88

3x = 3 × 44 = 132

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Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

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if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

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45 / 60 is equal to 3/4

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the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

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Answer:

Given

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