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Sagot :

Given :-

  • A triangle is given to us .
  • The two sides of the triangle are equal .

To Find :-

  • The value of x.

Solution :-

As we know that the angles opposite to the equal sides are equal . Hence the measure of two base angles will be 8x - 23° . Also we know that the angle sum property of a triangle is 180° . So ,

[tex]\sf\longrightarrow[/tex] 8x - 23° + 8x -23° +34°=180°

[tex]\sf\longrightarrow[/tex] 16x -12° = 180°

[tex]\sf\longrightarrow[/tex] 16x = 180° + 12°

[tex]\sf\longrightarrow[/tex] 16x = 192°

[tex]\sf\longrightarrow[/tex] x = 12°

Hence the required answer is 12° .