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2 votes
Does anyone know the answer?

Does anyone know the answer?-example-1

2 Answers

3 votes

Answer:

x = 120

Explanation:

The segments to the circle from an external point are tangents

The angle between a tangent and a radius at the point of contact = 90°

The sum of the interior angles of a quadrilateral = 360° , then

60 + 90 + 90 + x = 360

240 + x = 360 ( subtract 240 from both sides )

x = 120

User Soenke
by
5.9k points
4 votes

Answer:

x=120 degrees

Explanation:

Because these two angles share the two same points, either one is 2x larger or 2x smaller than the other. X is the larger angle, therefore is 2x larger than 60. 60×2=120. I hope this helps you!

User Simon Feltman
by
6.2k points