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Sagot :
Answer:
<B=55°, <D=55°
Step-by-step explanation:
in a parallelogram, opposite angles are congruent. so:
3n-5=2n+15
n-5=15
n=20
now that we know n is 20, we can substitute that into either <B or <D to figure out what their measures are (since they are congruent, they'll both have the same angle measure)
m<D=3n-5
m<D=3(20)-5
m<D=60-5
m<D=55
therefore, both <B and <D equal 55°.
From the figure of the parallelogram we know that the value of its angle must be <B=55°, <D=125°
What is a parallelogram?
Parallelograms are geometric figures that have only four sides, the opposite sides being parallel. This means that the opposite sides of a parallelogram are line segments belonging to lines that do not touch at any point.
In a parallelogram, opposite angles are congruent. so:
[tex]3n-5=2n+15\\n-5=15\\n=20[/tex]
now that we know n is 20, we can substitute that into either <B , so we have:
[tex]m < B=3n-5\\m < B=3(20)-5\\m < B=60-5\\m < B=55[/tex]
So caculating the D, we have:
[tex]D=180-B\\D=180-55\\D=125[/tex]
See more about parallelogram at brainly.com/question/1563728
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