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3 years ago

Solve this please this equation

Mathematics

1 answer:

yulyashka [42]3 years ago

8 0

Answer:

x = 80 degrees

Step-by-step explanation:

Draw a line through DG and name the intersection of that line and line AB as K.

By the same side interior angle theorem, GKC is 40 degrees.

By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.

By supplementary angle theorem, x = 80 degrees.

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4 years ago

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VARVARA [1.3K]

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4 years ago

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What are the coordinates of the point which would complete the rectangle shown above?

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3 years ago

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Troyanec [42]

In a parallelogram,

⇒the angles adjacent to each other

⇒ are of the same measure

⇒so

∠A = ∠C

∠B = ∠D

Let's solve:

∠A = ∠C

$7z +5 = 8z - 10\\5+10=8z-7z\\8z-7z=5+10\\z = 15$

∠B = ∠D

$5w-30=3w+10\\5w-3w=30+10\\2w = 40\\w=20$

Let's check:

⇒ for all quadrilaterals like a parallelogram

⇒all the angle measures added up to 360, so:

$(7z+5)+(8z-10)+(5w-30)+(3w+10)=360\\(7(15)+5)+(8(15)-10)+(5(20)-30)+(3(20)+10)=360\\(105+5)+(120-10)+(100-30)+(60+10)=360\\110+110+70+70=360\\220+140=360\\360=360$

Thus:

Answer: w = 20 and z = 15

Hope that helps!

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2 years ago

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