Find the measure of angle CDE

Question

Find the measure of angle CDE<---help please

anonymous · Answer

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anonymous · Answer

Well straight up I can tell you the answer is 65 for CDE, I used simultaneous equations to find this
You know that the addition of all angles is 180, so then you know that the remaining interior angles must equal to 130 because 180 take the already known angle, 50, is 130, so that means that your first equation is going to be
$$x+y=130$$
Your second equation is going to be 180, because that is the angle of the straight line take away the equation in CDE equals y
$$180-(2x-15)=y$$
You can now view it as;
$$x+y = 130, 2 x+y = 195$$
$$x=130-y, 2(130-y)+y=195$$
$$260-2y+y=195$$
$$65-y=o$$
$$y=65$$

$$x+(65)=130$$
$$x=130-65$$
$$x=65$$

anonymous · Answer

180- (50+x) + (2x-15) = 180
-50 -x +2x -15 =0
x=75
therefore, angle cde =135

anonymous · Answer

x=65 sorry

anonymous · Answer

addition mistake :p
cde= 115

anonymous · Answer

No, sorry the answer is 115 because 65 is the interior angles, so 180-65=115

anonymous · Answer

@ricnus  thats so much that was alot of work and @indianaalexander thank you to