soumya1989 wrote:
What is the value of w in terms of x and y?Attachment:
The attachment geo.JPG is no longer available
A)
2x+2y−180B)
180−x−yC)
360−2x−2yD)
360−2x−3yE)
180+x−2y In the diagram below, we have:
Attachment:
1.JPG [ 21.16 KiB | Viewed 2942 times ]
For triangle ABC: Angle ACB = 180 - (x+y)
For triangle RQC: Angle RQC = 180 - Angle RQB = 180 - (x+y)
=> Angle QRC = w = 180 - (Angle RCQ + Angle RQC)
=> w = 180 - [(180 - x - y) + (180 - x - y)]
=> w = 180 - 360 + 2x + 2y
=> w = 2x + 2y - 180
Answer A