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Kern Dowdy Posted on May 03, 2014
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How many obtuse angles can be found in a quadrilateral

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kakima

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  • Microsoft Master 102,366 Answers
  • Posted on May 03, 2014
kakima
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Either two or none, depending on the quadrilateral.

  • kakima May 03, 2014

    Scratch that. It could be none, one, two, or three, depending on the quadrilateral.

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Related Questions:

0helpful
1answer

What does obtuse mean

In math it means greater than 90 degrees but less than 180 degrees such as an obtuse angle.

In conversation, it means remotely connected, vague, not on subject, or missing what is going on.
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What is the least number of acute angles that a triangle can have?

2 is the least number.
Triangle has 3 angles, so if only 1 is acute and 2 obtuse, then the sum of the two obtuse angles would be > 180 degrees, which can't be correct. Hence you can have max 1 obtuse angle only with 2 acute, or all 3 acute.
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How many obtuse angles in a quadrilateral

None, one, two, or three, depending on the quadrilateral.
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How can you classify a triangle according to it angle? is there a formula for it

Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles.
So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees.
Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.
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What is the sume of the measures of the interior angles of a hexagon

720 degrees; a triangle is 180, quadrilateral 360, pentagon, 540. Each angle a shape goes up ads 180 degrees.
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(5x-15)+(3x+5)=180 angle a = (5x-15) degrees (obtuse) angle b = (3x+5) degrees (acute) both angles are supplementary to each other equaling 180 solving for x

Solve for x
5x+3x+(-15) + 5 becomes 8x-10=180
move 10 from left to right and you get8x190
8x = 190
x = 23.75
so the first angle is (5*23.75)-15 = 103.75
and the second angle is (3*23.75) +5 = 76.25

check by adding 76.25+103.75 = 180

Make sense? I love math, let me know it you need more help



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