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Please help me solve this question

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Sagot :

Answer:

[tex]a = 135[/tex]

[tex]b = 45[/tex]

Step-by-step explanation:

[tex]a + b = 180[/tex]

[tex]3b = a[/tex]

Replace 3b for a.

[tex]3b + b = 180[/tex]

[tex]4b = 180[/tex]

[tex]b = 45[/tex]

Susbstite 45 for b back into the system of equations.

[tex]3(45) = 135[/tex]

[tex]a + 45 = 180[/tex]

[tex]a = 135[/tex]

So

[tex]a = 135[/tex]

[tex]b = 35[/tex]

Answer:

<B is 45 degrees.

<A is 135 degrees.

Step-by-step explanation:

Hi,

When two angles add up to 180 degrees, they are called supplementary angles.

We know that <A and <B are supplementary angles. <A is three times as large as <B. So we can write...

3x + x = 180

(we don't know their angles, so we can just write x)

Now, solve...

4x = 180

x = 45

<B is 45 degrees.

Since both angles add up to 180, 180 - 45 = 135 meaning that <A is 135 degrees.

<A is 135 degrees.

We know that this is right because <A is three times as <B and both add up to 180 degrees.

I hope this helps :)

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