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Need help with this math question-example-1

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x = 140 \degree

EXPLANATION.

The two tangents each meet the radius at 90° each.

This implies that,


x + 40 + 90 + 90 = 360

The sum of interior angles of a Quadrilateral is 360°

We simplify to get


x + 40 = 180


x = 180 - 40


x = 140 \degree

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