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Angles in Alternate Segments

The angles of...

Question

The angles of quadrilateral are $x, 4 x + 70, x + 45, x + 35$

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Solution

The angles of quadrilateral area $x, 4 x + 70, x + 45, x + 35$
The sum of angles is $360$
$x + 4 x + 70 + x + 45 + x + 35 = 360 7 x + 150 = 360 7 x = 360 - 150 7 x = 210 x = 30$

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