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3 years ago

2) Given: lines a and b are parallel Prove: m<1 = m<8

Mathematics

1 answer:

monitta3 years ago

6 0

Explanation:

* Demonstrate that the related angles are the same.

* Demonstrate that different interior angles are equivalent.

* Demonstrate the adjacent interior angles are supplementary.

* Demonstrate the adjacent external angles are not mutually exclusive.

* Show that the lines in a plane are perpendicular to the same axis.

<1 and <8 are the same because they are alternate exterior angles that means that they are

Opposite sides of the transversal.

And that they are on the exterior side of the parallel lines.

Now because of that they have the same measures no matter what so would

<2 and <7

<3 and <6

<4 and <5

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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 :

$\qquad❖ \: \sf \:78 - 44$

$\qquad❖ \: \sf \:34 \: \: cm {}^{2}$

$\qquad \large \sf {Conclusion} :$

Area of shaded region = 34 cm²

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