Help me solve this geometry problem PLEASE?

Question

ACD is a straight angle. Which of the following is a true statement about the figure?

http://up.mezimages.com/up/01/1406842triangle.jpg (triangle i drew up)
(the 60s represent degrees)

1) ABC is a right triangle
2) Angle 2 is 120 degrees
3) Angle 3 is 30 degrees
4) Angle 4 is 60 degrees
5) BCD is an isoceles triangle

The answer given to me is 2 (Angle 2 is 120 degrees). I don't understand how this is true. ACD is a straight angle, right? So that means A+C+D must add up to 180 degrees, right? How can angle 2 equal to 120 degrees, if angle A is equal to 60 degrees? Those two angles add up to 180 degrees, leaving angle D without a number.

Answer 1

For me, knowing that B was 60 degrees, that made it so that 2 would have to be 120 degrees. Together they make 180. But I won't be in geometry until next year so I don't know the formula, just an a easy way to solve such a puzzle. If you would like to email me, I will send you your diagram explaining my way of getting to the bottom of this problem.

Answer 2

wow, lets go back to the beginning here. all angles in a triangle add up to 180. you have 60 and 60 which equals 120 plus another 60 equals 180. So, this triangle is called an equilateral triangle, because all of the angles are equal. Angle 1 and angle 2 together form a 180 degree angle. They are side by side, so they kind of have to. Angle D is not on the line, it is not a flat angle, but it is the ending point of the flat line. So then, angle one and angle two have to equal 180, and angle 1 equals 60. So, 180-60=120 So the answer is the one that was given to you. 2.

Answer 3

Given W = L +9 and area W*L = 36 ==> (L+9) * L = 36 ==> L^2 + 9L = 36 ==> L^2 + 9L - 36 = 0 ==> L^2 + 12L -3L - 36 = 0 ==> L(L + 12) - 3(L + 12) = 0 ==> (L -3) (L + 12) = 0 ==> L = 3 OR L = -12 ==> L = 3 (adverse cost no longer allowed) length = 3 cm and Width = 3 + 9 = 12 cm Dimensions are length 3 and width 12

Answer 4

Try site out below it should help you decide.