YacqubA757120 YacqubA757120
  • 26-10-2022
  • Mathematics
contestada

In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is 4x - 3 degrees, find x.

In the trapezoid below if lt BAC x 2 degrees and the measure of lt DCA is 4x 3 degrees find x class=

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ArionaK81624 ArionaK81624
  • 26-10-2022

Assuming an isosceles trapezoid

the sum of the inner angles of a trapezoid is 360°

then

[tex]360=2(BAC)+2(DCA)[/tex][tex]360=2(BAC+DCA)[/tex][tex]180=(BAC+DCA)[/tex][tex]180=(x-2)+(4x-3)[/tex][tex]180=5x-5[/tex][tex]180+5=5x[/tex][tex]185=5x[/tex][tex]\frac{185}{5}=x[/tex][tex]x=37[/tex]

x=37

correct answer

Option D

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