SkinnyMinnie20:

ABCD is a parallelogram. Find the measure of angle A.

11 months ago
SkinnyMinnie20:

|dw:1508374996187:dw|

11 months ago
Shadow:

Remember that consecutive angles are supplementary. In this case, C + D = 180 degrees.

11 months ago
SkinnyMinnie20:

i tried that but i did not get the answer

11 months ago
Shadow:

One of our other parallelogram rules tell us that opposite angels are congruent.

11 months ago
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?

11 months ago
SkinnyMinnie20:

angle c

11 months ago
Shadow:

Correct

11 months ago
Shadow:

Show me your work for solving those angles

11 months ago
SkinnyMinnie20:

how would I do that. cause i did it three ways and neither way is working

11 months ago
Shadow:

I'll show you.

11 months ago
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 \[x = 7\]

11 months ago
Shadow:

Where do we go from here?

11 months ago
Shadow:

Or actually, is that what you were getting earlier?

11 months ago
SkinnyMinnie20:

okay I did it that way but got some numbers mixed up

11 months ago
Shadow:

It happens :) So what do we do next?

11 months ago
SkinnyMinnie20:

would we plug in x

11 months ago
Shadow:

In which expression

11 months ago
Shadow:

Keeping in mind, Angle A is what we are trying to solve for.

11 months ago
SkinnyMinnie20:

(8x-8)

11 months ago
Shadow:

Correct

11 months ago
SkinnyMinnie20:

so angle c is in congruent to angle a

11 months ago
SkinnyMinnie20:

so my answer is 48

11 months ago
Shadow:

Correct again!

11 months ago
Shadow:

Good job :)

11 months ago
SkinnyMinnie20:

thank you!

11 months ago