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Nyla
07-28-2013, 11:43 AM
SAT math geometry question : Triangle's Angles

Find the angle z^o in the triangle below:

41

Thanks!!:):)

Jack
07-28-2013, 11:53 AM
SAT math geometry question : Triangle's Angles


Find the angle z^o in the triangle below:

41

Thanks!!:):)

We know that the angles of a triangle sum to 180 degrees. You can use this fact to solve for the missing angles x and y of the triangle ΔBDC.
Therefore, x+y+150^o=180^o \Rightarrow x+y=30^o .

Similar for the triangle ΔABC you have

z+2x+2y=180^o \Rightarrow z=180^o -2(x+y) \Rightarrow z=180^o -2(30^o)=180^o -60^o \Rightarrow z=120^o.

Hope these help!!:):)

Nyla
07-28-2013, 11:54 AM
Thanks Jack!!