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Answer:

Hope the below answer is easy to understand

Step-by-step explanation:

1)  Given the four angles of a quadrilateral are in the ratio 1:2:3:4

Then Let the angles are x,2x,3x and 4x

We know that total of  four angles of a quadrilateral =360 °

∴x+2x+3x+4x=360 °

⇒10x=360 °

⇒x=36  °

hence the measures of  angles are 36  ° ,72  ° ,108 °  ,144  °

2) Measure of interior angle of a polygon= 180°.

Sides of the polygon = 7 sides

Therefore,

Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°

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