Question

in Quadrilateral FISH, angle FIS =ISH =SHF and angle HFI =150°,then angle FIS =?

1 point


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Answer 1

Answer:

Let the angles be x, x, x, and y

We know that y = 150

By Angle Sum Property of a Quadrilateral

3x + y= 360

3x + 150 = 360

3x = 360 - 150

3x = 210

x = 210/3

x = 70

Hence, angle FIS = x = 70

Answer 2

Given : in Quadrilateral FISH, angle FIS =ISH =SHF and angle HFI =150°,

To find : Angle FIS =

Solution :

Let say  ∠FIS =∠ISH =∠SHF   = A

Sum of angle of a quadrilateral = 360°

∠FIS +∠ISH +∠SHF  + ∠HFI = 360°

∠HFI = 150°

=> A + A + A + 150 = 360

=> 3A = 210

=> A = 70

∠FIS = 70°

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