Two Obtuse Angles. Therefore, the sum of the two obtuse angles is greater than a straight line but less than a circle, meaning it is a reflexive angle. Since an obtuse angle is less than 180°, the sum of 2 obtuse angles will always be less than 360°.
Since, ∠a is 120 degrees, the sum of ∠b and ∠c will be less. 90∘ < θ < 180∘. Some more examples of obtuse angle.
It Is More Than 90° And Less Than 180°.
In the given figure, ∠xyz shows an obtuse angle. The sum of the other two angles in an obtuse triangle is always smaller than 90°. A 2 + b 2 < c 2.
We Know That By Angle Sum Property, The Sum Of The Angles Of A Triangle Is 180°.
In the above triangle, ∠1 > 90°. 90∘ < θ2 < 180∘. Angles are formed when two lines intersect at a common endpoint.
The Corner Point Of An Angle Is Called The Vertex.
Since, ∠a is 120 degrees, the sum of ∠b and ∠c will be less. There are two main ways to label angles: An obtuse angle is a type of angle that is always larger than 90° but less than 180°.
Therefore, The Sum Of The Two Obtuse Angles Is Greater Than A Straight Line But Less Than A Circle, Meaning It Is A Reflexive Angle.
Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). Since an obtuse angle is less than 180°, the sum of 2 obtuse angles will always be less than 360°. It is an obtuse angle as it measures more than 90 degrees as shown:
01, ∠Doq Forms An Obtuse Angle.
Similarly, since each obtuse angle must be less than a straight line, two obtuse angles must be less than two straight lines, which is equivalent to a circle. In other words, it lies between 90° and 180°. In a circle, an obtuse angle would be between a quarter of a circle and a semicircle.