Respuesta :

starlipika

the two angles between the radi and tangents are 90°

124 + 90 +90 = 304°

angles in a quadrilateral add up to 360° so 360° - 304°

x = 56°

znk

Answer:

[tex]\boxed{ x = 56^{\circ}}\\[/tex]

Step-by-step explanation:

  • The tangent line to a circle is perpendicular to the radius at the point of contact.
  • The sum of the interior angles of a quadrilateral is 360°

Put these together, and you get

[tex]\begin{array}{rl}x + 90 + 90 + 124 = 360 & \\x + 304 = 360 & \text{Combined like terms} \\x = 56 & \text{Subtracted 304 from each side} \\\end{array}\\[/tex]

[tex]\boxed{ x = 56^{\circ}}\\[/tex]

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