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Figure ABCD is a parallelogram.
What are the measures of angles B and D?
A
B
O ZB = 55°; ZD = 55°
(2n + 15)
O ZB = 55°, ZD = 125°
O ZB = 97°, 2D = 97°
O ZB = 83° 2D = 97°
(3n - 5)

Figure ABCD is a parallelogram What are the measures of angles B and D A B O ZB 55 ZD 55 2n 15 O ZB 55 ZD 125 O ZB 97 2D 97 O ZB 83 2D 97 3n 5 class=

Respuesta :

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°.

lhmarianateixeira

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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