AC is a diagonal of parallelogram ABCD. Which is the angleBCA?
@jim_thompson5910 can you help me?
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OpenStudy (anonymous):
OpenStudy (anonymous):
or @ArkGoLucky
OpenStudy (anonymous):
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OpenStudy (anonymous):
A+B is 180
OpenStudy (anonymous):
That means angleABC+angleBCA+angleACD=180. You know angle ABC = 80 and angle ACD=40 so you can substitute 80+angleBCA+40=180 and find angleBCA
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OpenStudy (anonymous):
60 degrees?
OpenStudy (anonymous):
@ArkGoLucky
OpenStudy (anonymous):
Nice. That's right
OpenStudy (anonymous):
Thank you! Will you help me with this last one, please?
OpenStudy (anonymous):
Sure
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OpenStudy (anonymous):
What is m<FEH?
OpenStudy (anonymous):
In a rhombus, opposite angles are equal and the sum of the interior angles is 360. The answer becomes 50
OpenStudy (anonymous):
Thank you I appreciate it!!
jimthompson5910 (jim_thompson5910):
Alternative Method:
With any parallelogram, the adjacent angles are supplementary. So they add to 180 degrees.
Angle E + Angle H = 180
Angle E + 130 = 180
Angle E + 130 - 130 = 180 - 130
Angle E = 50 degrees