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2 answers:
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Answer:
The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> 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
So, the longer part is
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:
<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of :
<em>The length of longer part is 45 cm.</em>
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
The complete question in the attached figure
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°