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Elenna [48]
3 years ago
10

&

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

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\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

Area of shaded region = 34 cm²

\textsf{  \underline{\underline{Steps to solve the problem} }:}

Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.

Area (big) :

\qquad❖ \:  \sf \:13 \times 6

\qquad❖ \:  \sf \:78 \:  \:c m {}^{2}

Area (small) :

\qquad❖ \:  \sf \:11 \times 4

\qquad❖ \:  \sf \:44 \:  \: cm {}^{2}

Area of shaded region :

\qquad❖ \:  \sf \:78 - 44

\qquad❖ \:  \sf \:34 \:  \: cm {}^{2}

\qquad \large \sf {Conclusion}  :

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