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If c + f = 140, what is k?
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APram
Joined: 23 Jun 2024
Last visit: 12 Sep 2026
Posts: 705
Location: India
Schools: ISB '26 HEC INSEAD Jan '26
GMAT Focus 1: 605 Q86 V78 DI76 
GPA: 3.608
c, f and i forms triangle. Hence c+f+i = 180
Already given c+f=140 => i=40
Also i and k are alternate angles => i=k
Hence k=40
Already given c+f=140 => i=40
Also i and k are alternate angles => i=k
Hence k=40
C+f+I=180°
Also, c+f=140°, so I=180-140=40°
I & k are alternate angles,
So I=k=40°
Also, c+f=140°, so I=180-140=40°
I & k are alternate angles,
So I=k=40°
Posts: 16,401
OE
If c + f = 140, then i = 40, because there are 180° in a triangle. Because k is vertical to i, the value of k is also 40.
Alternatively, if c + f = 140, then l = 140, since l is an exterior angle of the triangle and is therefore equal to the sum of the two remote interior angles. Because k is supplementary to l, the value of k is 180 − 140 = 40.
If c + f = 140, then i = 40, because there are 180° in a triangle. Because k is vertical to i, the value of k is also 40.
Alternatively, if c + f = 140, then l = 140, since l is an exterior angle of the triangle and is therefore equal to the sum of the two remote interior angles. Because k is supplementary to l, the value of k is 180 − 140 = 40.
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