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3 years ago

Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

Q= 126°

Step-by-step explanation:

Using the picture given, because these are parallel lines broken by a transversal, we can say the following

M=A=Q=F

B=C=D=G

Since, for example, M and C are the same line, we can say that M+C=180 and so on.

M=Q

Q= 126°

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AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

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