I only have until 9 tonight to finish these questions so I REALLY would appreciate the help. I've tried every resource I could. Please help.
Hello everyone!
I've spent hours trying to figure out these last few Geometry questions and I can't seem to find any information on it in my text book. If anyone could offer some help I would really appreciate it. Thank you so much!
1. In the diagram below, ABCD is a parallelogram. What is Angle BEC?
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2. What is the value of x in the diagram below?
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3. What are the values of n and t in the kite below?
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a. n= 4 t= 39
b. n= 4 t= 51
c. n= 4.5 t= 39
d. n=4.5 t= 51
Hello, LittleLotte!
1. In the diagram below, is a parallelogram.
What is angle ?Code:A o * * * * * o B * * 30° * * * * * * * o E * * * * * * * 35° * * D o * * * * * o C
We are given: .
Since . then: .(alterate-interior angles)
Then
In , we know two angles: .
Hence, the third angle is: .
and are supplementary: .
So we have: .
All 3 angles in a triangle sum to 180 degrees.
In a right-angled triangle, one angle is 90 degrees.
180-90=90 so t and 51 degrees sum to 90 degrees, so t=90-51=39 degrees.
If the side of length 2n equals the side below it, then the side 3n-4 equals the side n+5 in length.
n+5=3n-4, n+5+4=3n, n+9=3n, n-n+9=3n-n=2n, 9=2n, n=9/2=4.5