A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of x is 63°.
What is a quadrilateral?
A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The angle made by a tangent and the radius of the circle is equal to 90°. Therefore, the measure of the angles can be written as,
∠OLM = 90°
∠ONM = 90°
The sum of all the angles of a quadrilateral is 360°. Therefore, the sum of all the angles can be written as,
∠LON + ∠ OLM + ∠ONM + ∠LMN = 360°
117° + 90° + 90° + x = 360°
297° + x = 360°
x = 63°
Hence, the measure of x is 63°.
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