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Why can't a quadrilateral have no more than three obtuse angles?
The sum of all the interior angles of a quadrilateral is 360 degrees. If it had more than three obtuse angles, then it would have all four angles greater than 90 degrees so that their sum would be greater than 360 degrees.
How can you prove that the sum of the four interior angles in all quadrilaterals equal 360 degrees?
If you accept that the sum of the angles in a triangle is 180 degrees, then picture this. A quadrilateral shape is two triangles. If you draw a line between one pair of opposite corners in quadrilateral shape, you have two triangles that share a common side. The sum of the angles in the quadrilateral must equal the sum of the angles in the two triangles. 2 x 180 = 360
What type of quadrilateral has degrees of 110 100 80 and 70?
Well, darling, that quadrilateral is a simple convex quadrilateral because all the interior angles add up to 360 degrees. It's also a quadrilateral with no parallel sides or right angles, so it's not a square, rectangle, parallelogram, or rhombus. Just a sassy little quadrilateral with angles of 110, 100, 80, and 70 degrees.
Can you draw a quadrilateral that has three right angles?
The sum of the interior angles of a quadrilateral is 360 degrees. If three of the angles are right angles, that is, of 90 degrees each, the the fourth must be 90 degrees. So you can have a quadrilateral with three right angles but its fourth angle will also be a right angle. So exactly 3 right angles is not possible.
Three angle in a quadrilateral measure 54 25 and 99 What is the measure of the fourth angle?
The sum of all four interior angles in a quadrilateral must be 360, so the answer would be: 360 - 54 - 25 - 99 = 182
