SkinnyMinnie20:
ABCD is a parallelogram. Find the measure of angle A.
SkinnyMinnie20:
|dw:1508374996187:dw|
Shadow:
Remember that consecutive angles are supplementary. In this case, C + D = 180 degrees.
SkinnyMinnie20:
i tried that but i did not get the answer
Shadow:
One of our other parallelogram rules tell us that opposite angels are congruent.
Shadow:
The question is asking for the measure of angle A. What angle, if we were to solve for, would give us the same angle as angle A?
SkinnyMinnie20:
angle c
Shadow:
Correct
Shadow:
Show me your work for solving those angles
SkinnyMinnie20:
how would I do that. cause i did it three ways and neither way is working
Shadow:
I'll show you.
Shadow:
As per what I said earlier. "In this case, C + D = 180 degrees." Angle C = 8x - 8 Angle B = 17x + 13 \[17x + 13 + 8x - 8 = 180\] Like terms \[25x + 5 = 180\] Subtract five from both sides \[25x = 175\] Divide both sides by 25 \[x = 7\]
Shadow:
Where do we go from here?
Shadow:
Or actually, is that what you were getting earlier?
SkinnyMinnie20:
okay I did it that way but got some numbers mixed up
Shadow:
It happens :) So what do we do next?
SkinnyMinnie20:
would we plug in x
Shadow:
In which expression
Shadow:
Keeping in mind, Angle A is what we are trying to solve for.
SkinnyMinnie20:
(8x-8)
Shadow:
Correct
SkinnyMinnie20:
so angle c is in congruent to angle a
SkinnyMinnie20:
so my answer is 48
Shadow:
Correct again!
Shadow:
Good job :)
SkinnyMinnie20:
thank you!
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