anna14
in //lelogram ABCD,m∠c=2x+5 and m∠D=3x-199,find the measure of each angle.
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anna14
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please answer :))
hba
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I hate geometry.
hba
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@anna14 Do you love geometry ?
ajprincess
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|dw:1357131979991:dw|
AD//BC
So m<C and m<D are allied angles.
Sum of allied angles=180
2x+5+3x-199=180
anna14
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thank you verry much ajprincess
hba
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Thanks a lot your highness.
ajprincess
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welcome:)
ajprincess
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lool @hba
hba
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Haha :D
anna14
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yes:hBA
i love geometry
about you?
hba
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I hate it.
hba
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Although i know how to do it.
anna14
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ajprincess: how about the formula?
hba
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Lemme show you another example.|dw:1357132536739:dw|
So here we have to find a and b
Sum of allied angles=180
hba
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So,
a+113=180
and
b+54=180
Solve for a and b :)
hba
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It goes like this :)
anna14
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ahh okey thanks..
mathstudent55
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Solve the equation
You have two parallel lines cut by a transversal
Angles C and D are same side interior angles which add up to 180
2x + 5 + 3x - 199 = 180
Combine like terms
5x - 194 = 180
Add 194 to both sides
5x = 374
Divide both sides by 5
x = 74.8
m<C = 2x + 5 = 2(74.8) + 5 = 154.6
m<D = 3x - 199 = 3(74.8) -199 = 25.4
anna14
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thank you so much...mathstudent55:)
mathstudent55
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wlcm