Math, asked by akshatverma57, 3 months ago

find the value of x and find all the angles of triangles shown below please tell
I will brainlist if he or she will answer my questions with right ans wer​

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Answers

Answered by kinzal
9

Given :-

  • Angles
  • A = x + 8
  • B = 3x - 1
  • C = x + 3

To Find :-

  • Find Value of x
  • Find all angles of this triangle

Required Answer :-

  • As we know that, ∆ ABC = 180°
  • so, we can write like this ,
  • A + B + C = 180°
  • Now ,

:⟹A + B + C = 180°  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ :⟹(x + 8) + (3x - 1) + (x + 3) = 180° \\  \\ :⟹5x + 10 = 180° \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ :⟹5x = 180° - 10 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ :⟹5x = 170 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ :⟹x =  \frac{170}{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ :⟹x = 34 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Angles :⟹

  • A = x + 8
  • = 34 + 8
  • = 42°

  • B = 3x - 1
  • = 3 (34) - 1
  • = 101°

  • C = x + 3
  • = 34 + 3
  • = 37°

i hope it helps you.

Answered by pp9668012
2

Answer:

Angle-A is 42, Angle-B IS 101, ANGLE-C IS 37

Step-by-step explanation:

=(3x-1)+(x+8)+(x+3)=180°

=3x-1+x+8+x+3=180°

=3x+x+x=3x+2x=5x

=5x-1+8+3=180°

=5x-1+8=180-3=177°

=5x-1=177-8=169°

=5x=169+1=170°

=x=170÷5=34

so,x=34

then,put the value means put 34 in all angles on the place of x and you will get 101,42,and37

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