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2 years ago

If A and B are supplementary angles and A is four times as large as B, find the measures of A and B.

Mathematics

1 answer:

lora16 [44]2 years ago

8 0

Answer: Angle A= 135 degrees and Angle B= 45 degrees

Step-by-step explanation:

Supplementary means two angles added together to make 180.

Angle A= 3x and Angle B= x

So 3x +x =180

4x=180 divide both sides by 4

x =45

So Angle A = 3 times 45 =135 degrees

Angle B= the value of x which is 45 degrees

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3 years ago

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A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

Pachacha [2.7K]

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The longer part is 45 cm long and the shorter part is 25 cm long.

Step-by-step explanation:

Given:

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.

Now, to find the length of each part of the stick.

Let the shorter part be $x.$

So, the longer part is $x+20.$

Total length of the stick = 70 cm.

Now, to get the length of each part we solve an equation:

$(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.$

The length of the shorter part is 25 cm.

Now, substituting the value of $x$ :

$x+20\\\\=25+20\\\\=45\ cm.$

The length of longer part is 45 cm.

Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.

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3 years ago

If A and B are supplementary angles and A is four times as large as ​B, find the measures of A and B.

If A and B are supplementary angles and A is four times as large as B, find the measures of A and B.