SOLUTION: Three angles of a quadrilateral are in the ratio1:2:3.the sum of the smallest and the largest of these angles is equal to 180 degree find all the angles of the quadrilateral.

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Question 1014337: Three angles of a quadrilateral are in the ratio1:2:3.the sum of the smallest and the largest of these angles is equal to 180 degree find all the angles of the quadrilateral.
Answer by ikleyn(52776) About Me  (Show Source):
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Three angles of a quadrilateral are in the ratio1:2:3.the sum of the smallest and the largest of these angles is equal to 180 degree find all the angles of the quadrilateral.
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According to the condition, the tree angles are 

x, 2x and 3x,

where x is the measure of the smallest angle of these tree.

Next, according to the condition,

x + 3x = 180°.

Hence,  4x = 180,  and  x = 180%2F4 = 45°.

Now, the three angles are 45°, 90° and 135°.

The sum of the interior angles of a quadrilateral is 360°. Do you know it?

Now calculate yourself the missing angle.