DavariJ625180 DavariJ625180
  • 03-11-2022
  • Mathematics
contestada

Find the value of each variable in the parallelogram.lg + 4) 7.16- h65°g=h=

Find the value of each variable in the parallelogramlg 4 716 h65gh class=

Respuesta :

DemaniR574803 DemaniR574803
  • 03-11-2022

h = 9

g = 61°

Explanation:

The opposite sides of a parallelogram are parallel and congruent.

This means the opposite sides are equal

equating the sides:

7 = 16 - h

subtract 16 from both sides:

7 - 16 = - h

-9 = -h

divide both sides by -1

-9/-1 = -h/-1

h = 9

The opposite angles of a parallelogram are equal

equating the angles:

(g + 4)° = 65°

g + 4 = 65

subtract 4 from both sides:

g + 4 -4 = 65 -4

g = 61°

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