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Mathematics 30 Online
OpenStudy (anonymous):

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of angle CBE, and z represent the measure of angle BCE. The value of x is °, the value of y is °, and the value of z is °.

OpenStudy (anonymous):

@Directrix @pooja195

OpenStudy (anonymous):

Help

Directrix (directrix):

Here is what I have so far.

OpenStudy (anonymous):

Ok makes since

Directrix (directrix):

The 50 degree angle comes from alternate interior angles being congruent. Look for any relationships of any of the angles.

OpenStudy (anonymous):

Do you think that X and Y are 50?

Directrix (directrix):

I see a right triangle in which we know one angle to be 50 so the other one is 40. I flipped the diagram around.

Directrix (directrix):

How much is the red angle in the triangle with the 50 and 40? Look at the question mark I drew.

OpenStudy (anonymous):

I am not sure

Directrix (directrix):

Sum of interior angles of triangle is 180. So, what is the missing measure? |dw:1424480394772:dw|

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