Two angles are supplementary. if one angle is 36 less than twice of the other angle, find the two angles.

2 answers:

azamat3 years ago

4 0

Answer: 72° and 108°

Explanation:

Two angles are supplement ===> They add up to 180

one angle = x
other angle = 2x - 36

x + 2x- 36 = 180
3x - 36 = 180
3x = 216
x = 72

x = 72
2x - 36 = 2(72) - 36 = 108

ss7ja [257]3 years ago

4 0

The sum supplementary angles add up to 180°

Let one of the angle be x.
one angle = x
other angle = 2x - 36

Sum of the two angles is 180
x + 2x - 36 = 180

Combine like terms:
3x - 36 = 180

Add 36 to both sides:
3x = 216

Divide both sides by 3:
x = 72

Find the 2 angles:
one angle x = 72°
other angle = 2x - 36 = 2(72) - 36 = 108°

Answer: The two angles are 72° and 108°

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an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100

LiRa [457]

I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
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Multiply the bottom equation by -2;

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"Add" these two equations together:

2c + 4p = 270
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2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
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There are 35 pigs and 65 chickens
-T.B.

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