BTGmoderatorDC wrote:
What is the value of z in the triangle above?
(1) x+y=139
(2) y +z= 108
Source: Official Guide
All angles are measured in degrees.
$$? = z$$
$$\left( 1 \right)\,\,\,x + y = 139\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,z = 180 - 139\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,{\rm{SUFF}}.\,$$
$$\left( 2 \right)\,\,\,y + z = 108\,\,\,\,\left\{ \matrix{
\,{\rm{Take}}\,\,\left( {x,y,z} \right) = \left( {72,60,48} \right)\,\,\,\, \Rightarrow \,\,\,{\rm{? = 48}} \hfill \cr
\,{\rm{Take}}\,\,\left( {x,y,z} \right) = \left( {72,48,60} \right)\,\,\,\, \Rightarrow \,\,\,{\rm{? = 60}}\, \hfill \cr} \right.$$
The correct answer is therefore (A).
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
