How do I find y? This is geometry

Question

asked Feb 11, 2020 82.2k views

1 Answer

Tarif Haque · Answer 1 · 2020-02-17T00:00:52+0000

Hello from MrBillDoesMath!

Answer:

y = 75 degrees

Discussion:

1) The sum of the angles of a convex quadrilateral is 360 degrees

2) Angle G + 80 = 180 (as there are 180 degrees in a line).

Hence G = 180 - 80 = 100

So using 1) and 2) gives

angle G + 120 + 65 + y = 360 => as angle G = 100

100 + 120 + 65 + y = 360 => combine constants

285 + y = 360 => 360 - 285 = 75

y = 75

Thank you,

MrB