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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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; \[x+y = 130, 2 x+y = 195\] \[x=130-y, 2(130-y)+y=195\] \[260-2y+y=195\] \[65-y=o\] \[y=65\] \[x+(65)=130\] \[x=130-65\] \[x=65\]
180- (50+x) + (2x-15) = 180 -50 -x +2x -15 =0 x=75 therefore, angle cde =135

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Other answers:

x=65 sorry
addition mistake :p cde= 115
No, sorry the answer is 115 because 65 is the interior angles, so 180-65=115
@ricnus thats so much that was alot of work and @indianaalexander thank you to

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