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Pie
3 years ago
7

How do I work out this problem?

Mathematics
1 answer:
cluponka [151]3 years ago
4 0
First we need to find ∡PRQ. To do this we can use the fact that the sum of the interior angles of a triangle is 180°:

180=R+P+Q
180=R+40+105
180=R+145
R=180-145
R=35

Now, we can use the fact that a strait line (like SRQ) is also 180°:
SRQ=180-R
SRQ=180-35
SRQ=145 °
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Given that original lenght of the board before cut = \frac{7}{10}meter

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Now we have to find the lenght of the piece which is cut.

To find that we just need to subtract smaller piece from larger piece


Required Length = \frac{7}{10}-\frac{3}{10}meter

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Hence final answer is \frac{2}{5} meter.

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