Answered

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Find the value of each variable in the parallelogram.
(b - 10)
(b + 10)
b=
C=
d =

Sagot :

akposevictor

Based on the properties of the angles of a parallelogram, the value of each variable are:

  • b = 90
  • d = 100°
  • c = 80°

The Angles of a Parallelogram

  • The opposite sides of a parallelogram have the same equal measure, that is they are congruent.
  • Adjacent angles or consecutive interior angles of a parallelogram are supplementary, that is their sum equals 180 degrees.

Thus:

(b - 10) + (b + 10) = 180

b - 10 + b + 10 = 180

Add like terms

2b = 180

b = 90

d = b + 10 (opposite angles)

Plug in the value of b

d = 90 + 10

d = 100°

c = b - 10

Plug in the value of b

c = 90 - 10

c = 80°

Therefore, based on the properties of the angles of a parallelogram, the value of each variable are:

  • b = 90
  • d = 100°
  • c = 80°

Learn more about parallelogram on:

https://brainly.com/question/11627202

View image akposevictor
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