Question

Find A B C
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Answer 1

Answer:

first of all give names to angles which are not given..

let angle between angle c and angle 114 = angle 1

let the angle between angle c and angle 37 = angle 2

now for A

in triangle containing a..

30° + a + angle 1 = 180° [angle sum property in triangle]

now angle 1 = 37° (vertically opposite angle of 37°)

so 30° + 37° + a = 180°

=> 67° + a = 180°

=> a = 180° - 67°

=> a = 113°

angle B =

37° + b + 114° = 180° (linear pair anxiom I.e, sum of all angles at a point is 180°)

=> b = 180° - 151°

=> b = 29°

for C :

angle 2 + c + 37° = 180° (linear pair anxiom)

=> 90° + c + 37° = 180°

=> c = 180° - 127°

=> c = 53°

hence A = 113°

B = 29°

C = 53°

Step-by-step explanation:

hope it helps..

if so...

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