Question

Can someone help me please ASAP

Answer 1

140°

solution,

Let <DEF= x°

<CDE= 2x°

<BAF= 90°

The sum of interior angle of hexagon= 720°

<A + <B + <C + <D + <E +<F = 720°

`90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\ (3x)/(x) = (210)/(3) \\ x = 70 \: degree`

Again,

`< \: cde = 2x \\ \: \: \: \: \: \: \: \: \: \: \: \: = 2 * 70 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 140 \: degree`

Hope this helps...

Good luck on your assignment..