# Three angles ofa quadrilateral are 60', 75' and 100'. Find the fourth angle. Also, find all the four extemal angles.

2
by vamidhun

2015-06-08T18:09:42+05:30

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Sum of the 4 angles of a quadrilateral = 360 degrees

sum of the given three angles 60, 75, 100 is equal to 235

The fourth angle = 360 – 235 = 125 degrees
2015-06-08T18:36:45+05:30
∠1=60°
∠ 2=75°
∠3=100°
let  ∠4=x
since the sum of all interior angles of a quadilateral=360°
ATQ
60° + 75° + 100° + x = 360°
235° + x = 360°
x = 360° - 235°
x = 125°

FINDING THE EXTERIOR ANGLES-
linear pair = 180°
∠1=60°
∴ exterior ∠1 = 180° ⁻ 60°
= 120°
∠2 = 75°
∴ exterior ∠2 = 180° - 75°
= 105°
∠3 =100°
∴ exterior ∠3 = 180° - 100°
= 80°
∠4 = 125°
∴ exterior ∠4 = 180° - 125°
= 55°
as we know that the sum of exterior angles of a quadilateral equal to 360°
thus, 120° ⁺ 105° + 80° + 55° = 360°

ps.- you can completely rely on this answer. happy to help. :))

my answer gave you the complete information whereas the answer you marked as the best didnt tell how to find the 4 exterior angles! and still you chose it as the best one!!
i accidently mark it! sorry
oh..