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liraira [26]
4 years ago
6

If two angles are supplementary, do they form a linear pair? Explain.

Mathematics
2 answers:
sweet-ann [11.9K]4 years ago
8 0
<span>A linear pair of angles, is formed when two lines intersect.
Supplementary are two angles that add up to 180, so yes, they do in fact form a linear pair.
</span>
Soloha48 [4]4 years ago
3 0
 <span>Supplementary angles and linear pairs both add to 180°. Two angles may be supplementary, but not adjacent and do not form a linear pair. If two angles are adjacent and do not equal 180°, then they are not supplementary and do not form a linear pair.</span>
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The area of rectangle BEFD is 180 square units.

Step-by-step explanation:

After checking the figure given, we have the following information:

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EC = \frac{75\sqrt{41}}{41}

And the length of the line segment CF is:

CF = EF - EC

CF = 3\sqrt{41}-\frac{75\sqrt{41}}{41}

CF = \frac{48\sqrt{41}}{41}

And the length of the line segment DF is determined by Pythagorean Theorem:

FD = \sqrt{CD^{2}-CF^{2}}

FD = \sqrt{12^{2}-\left(\frac{48\sqrt{41}}{41} \right)^{2}}

FD = \frac{60\sqrt{41}}{41}

And the area of the rectangle is determined by the following formula:

A = FD\cdot EF

A = \left(\frac{60\sqrt{41}}{41} \right)\cdot (3\sqrt{41})

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