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)

<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°.

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step-by-step explanation:

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step-by-step explanation:

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