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2 years ago

Both angle A & B are supplementary. If angle A is x and angle B is 3x, then what is x equal to AND what does angle B equal?

Mathematics

1 answer:

ryzh [129]2 years ago

7 0

Answer:

A= 45 degrees

And angle B= = 135 degrees

Step-by-step explanation:

Supplementary means that the sum of both angles is equal to 180 degrees.

< A= x

< B= 3x

<a+<B= 180

x+3x= 180

4x= 180

x= 180/4

x= 45

Therefore angle A= 45 degrees

And angle B= 3x= 3*45= 135 degrees

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Answer:

$\boxed{\sf x=-2}$

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Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

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