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Ber [7]
3 years ago
12

If the measure of angle 3=2x and the measure of angle 2=3x, what is the measure of angle 1?

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer: 126°

Step-by-step explanation: Since every triangle has 180 interior degrees, we can say 2x + 3x + 90° = 180°. Subtract 90° from each side and we get

2x + 3x = 90°

5x = 90°

x = 18°

Plug in x for Angle 2, giving us Angle 2 = 54°

Angle 1 and angle 2 must add up to 180°

Subtract 54° from 180° and we get 126°

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2a + 3b = 5

b = a - 5

You can write this another way:

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Now you gotta factor out:

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Here im gonna do plus 15

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Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

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