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ElenaW [278]
3 years ago
14

Geometry question on finding x.

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

x =63^o

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • \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° .

<u>According</u><u> to</u><u> question</u><u> </u><u>:</u><u>-</u><u> </u>

\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

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> x</u><u> </u><u>is </u><u>6</u><u>3</u><u>°</u><u> </u><u>.</u>

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