launiegobrazy
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  • 23-05-2021
  • Mathematics
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Geometry question on finding x.

Geometry question on finding x class=

Respuesta :

VirαtKσhli
VirαtKσhli VirαtKσhli
  • 23-05-2021

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

  • [tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

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