The lengths of three consecutive sides of a quadrilateral are equal. If the angles included between these sides have measures of 60˚ and 70˚, what is the measure of the largest angle of the quadrilateral? Draw your figure.

2. Originally Posted by carla5980

The lengths of three consecutive sides of a quadrilateral are equal. If the angles included between these sides have measures of 60˚ and 70˚, what is the measure of the largest angle of the quadrilateral? Draw your figure.
Draw a horizontal line of any length x.
Draw another line of length x off at 60 degrees
and another line of length x from the other end of the horizontal line at 70 degrees.

Join the corner with the 70 degree angle to the end of the other line.
Since 2 sides are x and the angle between the sides is 60 degrees,
this is a special case of isosceles triangle.
It's equilateral.

Now we have 4 lines of length x.
Hence the angles of the "thin" isosceles triangle are 10, 85, 85.
Therefore the largest angle is 85+60 degrees.

Try drawing it!

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# the lenths of three consecutive sides of a quadrilateral circumscribing a circle are 4 cm,5 cm7cm respectively.determine the length of the fourth side.

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