Question

Geometry question on finding x.

Answer 1

`x =63^o`

Explanation:

Given :-

• 
  `\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}`

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 :-

`\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`

Hence the value of x is 63° .