Louisa7 Louisa7
  • 14-07-2020
  • Mathematics
contestada

Can someone help me please ASAP

Can someone help me please ASAP class=

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 14-07-2020

Answer:

140°

solution,

Let <DEF= x°

<CDE= 2x°

<BAF= 90°

The sum of interior angle of hexagon= 720°

<A + <B + <C + <D + <E +<F = 720°

[tex]90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\ \frac{3x}{x} = \frac{210}{3} \\ x = 70 \: degree[/tex]

Again,

[tex] < \: cde = 2x \\ \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 70 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 140 \: degree[/tex]

Hope this helps...

Good luck on your assignment..

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