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Three angles ofa quadrilateral are 60', 75' and 100'.

Find the fourth angle. Also, find all the four extemal

angles.

2
by vamidhun

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Find the fourth angle. Also, find all the four extemal

angles.

by vamidhun

Log in to add a comment

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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

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

The fourth angle = 360 – 235 = 125 degrees

∠ 2=75°

∠3=100°

let ∠4=x

since the sum of all interior angles of a quadilateral=360°

235° + x = 360°

x = 360° - 235°

x = 125°

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. :))