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Luda [366]
3 years ago
12

Will give BRAINLIEST.

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

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°

<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u>6</u></em><em><u>°</u></em>

Allisa [31]3 years ago
4 0

Answer:

\boxed{ x = 56^{\circ}}\\

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

\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}\\

\boxed{ x = 56^{\circ}}\\

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