How do you work out the exterior angle of a triangle?
2:35Suggested clip 116 secondsFinding the exterior angle of a triangle – YouTubeYouTubeStart of suggested clipEnd of suggested clip
How do you find the interior and exterior angles of a triangle?
Because the interior angles of a triangle add to 180, and angles c+d also add to 180:The interior angles of a triangle add to 180:a + b + c = 180Angles c and d make a straight angle, which is 180:d + c = 180So d + c equals a + b + c:d + c = a + b + c.Subtract c from both sides:d = a + b.
What do the exterior angles of a triangle add up to?
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
What is the sum of the 3 exterior angles of a triangle?
One can also consider the sum of all three exterior angles, that equals to 360° in the Euclidean case (as for any convex polygon), is less than 360° in the spherical case, and is greater than 360° in the hyperbolic case.
Can exterior angles of a triangle be a straight angle?
AN EXTERIOR ANGLE OF A TRIANGLE CANNOT BE A STRAIGHT LINE BECAUSE A TRIANGLE HAS 180 DEGREES IN ADDING ALL THE THREE ANGLES OF A TRIANGLE. …
Which is a true statement about an exterior angle of a triangle?
Answer Expert Verified As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle.
Can a triangle have two right angles?
Answer and Explanation: Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.
Can you have a triangle with two obtuse angles?
Give reason for your answer. Solution : No, because it the triangle have two obtuse angles i.e., more the 90∘ angle, then the sum of all the three angles of a triangle will not be equal to 180∘.
Can a triangle have one obtuse angle and one right angle?
A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.
Can a triangle have all angles less than 60?
No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°.
Can you have a triangle with all the three angles greater than 60 degree?
A triangle cannot have neither all the angles less than 60 degree nor greater than 60 degrees. All the angles in a triangle can never be less than 60 nor greater than 60. However all the angles can be acute ,whether only two of them.
Which is the longest side of a right triangle?
Can a triangle have two 60 degree angles?
The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
Is the sum of any two angles of a triangle always greater than the third angle?
Answer: No, and here’s an example to illustrate. Suppose a triangle had angles of 120, 45 and 15.
What is the rule for the third side of a triangle?
Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
What do the 3 angles of a triangle equal?
The sum of the three angles of any triangle is equal to 180 degrees.
Do two angles always add up to be greater than 90?
(You may have to move the mouse slowly to get an angle to be exactly 90°). * To see why this is so: The internal angles of any triangle always add up to 180°. If two angles were greater than 90° they would add to more then 180° just by themselves. Therefore this can never happen.
How many right angles can be in an obtuse triangle?
There cannot be any right angles in an obtuse triangle. To show why this is, we will use the following facts: The sum of the angles of any triangle…
What angles identify an obtuse triangle?
An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.
How do you find the angle of an obtuse triangle?
You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4.