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Math Help - quadrilateral question.

  1. #1
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    quadrilateral question.

    I'm stumped about this problem, any help would be super appreciated. Thanks.

    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.
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  2. #2
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    Quote Originally Posted by carla5980 View Post
    I'm stumped about this problem, any help would be super appreciated. Thanks.

    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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