rebecca1233
In an isosceles trapezoid, two angles are labeled as shown. What is the value of x?
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rebecca1233
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|dw:1360347206882:dw|
rebecca1233
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please explain why also
rajathsbhat
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do you know that those two angles add up to 180 degrees?
rebecca1233
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what is the other angel one is 132
rajathsbhat
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2x+10
rebecca1233
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11
15
16
19
is the answer options
rebecca1233
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how does that add up to 180
rebecca1233
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so how do you solve it
rajathsbhat
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here:|dw:1360348431488:dw|
you know that B+C=180 right?
rebecca1233
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yes
rebecca1233
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so how do i figure out the answer how do i solve this problem.
rajathsbhat
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and A=C.
Because they are alternate angles.
So replacing C with A in
B+C=180,
we get
B+A=180.
There, i just proved why those two angles should add up to 180.
Do you understand upto here?
rebecca1233
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yes
rebecca1233
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so how do i solve that problem to get the answer
rajathsbhat
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if you write down what we just proved, you get
(2x+10) + 132 = 180.
Can you solve for x now?
rebecca1233
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hmm i think so subtract 132 from 180
rajathsbhat
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yup.
rebecca1233
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then what
rebecca1233
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after i subtract i get 48
rebecca1233
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(2x+10)=48
rajathsbhat
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2x+10 = 48.
Now?
rebecca1233
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subtract 10 from 48
?
rajathsbhat
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yup
rebecca1233
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then i get 38
rebecca1233
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then divide by 2
rebecca1233
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so 19
rajathsbhat
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Yup :)
rebecca1233
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can u help m with a diff problem ?
rajathsbhat
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okay. Just one before i go to bed.