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in Geometry by (47.6k points)
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If the measures of three angles of a quadrilateral are 100°, 84° and 76° then, find the measure of fourth angle.

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Let the measure of the fourth angle be x°. 

The sum of the angles of a quadrilateral is 360° 

So, 100° + 84° + 76° + x° = 360° 

260° + x° = 360° 

x = 360° – 260° = 100° 

Hence, the measure of the fourth angle is 100°.

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