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Spoints
Find the value of each variable in this parallelogram.
dº
(b- 10)⁰
(b + 10)
b = type your answer....
C = type your answer...
d = type your answer...

Spoints Find the value of each variable in this parallelogram dº b 10 b 10 b type your answer C type your answer d type your answer class=

Respuesta :

Mickeym175

Answer:

[tex]b=90\\c=80\\d=100[/tex]

Step-by-step explanation:

The 2 bottom angles added together equal 180 so we can make an equation and solve for b

[tex](b-10)+(b+10)=180\\2b=180[/tex]

Divide both sides by b

[tex]b=90[/tex]

b+10 will equal d so we can solve that

[tex]90+10=d\\100=d[/tex]

c will equal b-10

[tex]90-10=c\\80=c[/tex]

I hope this helps

msm555

Answer:

b = 90°

c = 80°

d = 100°

Step-by-step explanation:

Since the Co-interior angles of the parallelogram are supplementary.

So,

(b-10)° + (b+10)° = 180°

Combine like terms:

b+b -10+10= 180°

2b = 180°

Divide both sides by 2.

[tex]\dfrac{2b}{b}=\dfrac{180^\circ}{2}[/tex]

b = 90°.

Similarly:

d + (b-10)° = 180°

Substitute the value of b.

d + (90-10)° = 180°

d + 80° = 180°

Subtract 80° on both sides:

d + 80° -80° = 180° - 80°

d = 100°.

Similarly:

d + c = 180°

Substitute the value of d.

100° + c = 180°

Subtract 100° on both sides:

100° + c -100° = 180° - 100°

c = 80°

So, the values of variables are:

b = 90°

c = 80°

d = 100°

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