Question

Angles of a Triangle are 2x + 28 degree, 12x + 15 degree and 8x + 5 degree.
Find x

Answer 1

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Answer 2

Hey there !!

Let A , B , and C be the angle of a triangle ,

Given. that -

A = 2x +28°

B = 12x +15 °

C = 8x +5°

We know the sum of interior angle of the triangle is 180°
So,

A + B + C = 180°

=> ( 2x +28) + ( 12x +15) + (8x+5) = 180°

=>22x + 48 = 180°

=> 22x = 180° - 48

=> 22x = 132

$= > 22x = 132 \\ \\ = > x = \frac{132}{22} \\ \\ = > x = 6$
Hence We got x = 6°

A = 2 (6) + 28 = 12 +28= 40°

B = 12 (6) +15 = 72° + 15= 87°

C = 8 (6) + 5 = 48° + 5° = 53

Hope this helps u !!