Bunuel wrote:
If the sum of the degree measures of two specific angles of triangle T is greater than the sum of the degree measures of two specific angles of quadrilateral Q, what is the greatest possible number of right angles that Q could have?
(A) None
(B) One
(C) Two
(D) Three
(E) Four
Hi...
We are looking for the max number of 90° angles in Quadrilateral..
1) CAN it be 4.... NO
For all 4 to be 90°, sum of two angles will be 90+90=180 and therefore the sum of two angles of triangle will have to be >180...... Not possible
2) Can it be 3.....NO
3 of angles as 90 means 4th also has to be 90..
3) Can it be 2.... YES
Say sum of angles is 92, so sum of two angles of quadrilateral can be 91, 90° and 1°... In the remaining two, one can be 90 and other 180-1=
79Ans C
Thank you for the great explanation.
But you may want to change the above highlighted to 179. It initially confused me while skimming as (360 - (90+1+79)) does not 90. Just letting you know.