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All angles in a triangle equal 60 degrees?
If all angles in a triangle are equal to 60 degrees, then the triangle is an equilateral triangle. In an equilateral triangle, all three sides are equal in length. This property is a consequence of the triangle angle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Therefore, if each angle is 60 degrees, the total sum of the angles in the triangle is 180 degrees, satisfying the theorem.
What does the angle sum theorem for triangles state?
Presumably it states that for any triangle its 3 interior angles add up to 180 degrees.
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What is triangle sum theorem?
The theorem that the three angles of a triangle can be added up to equal 180 degrees. Don't confuse this with a theory, however; this has been proven true.
What is the angle of a triangle measuring 68 X 68 X 82?
It is an isosceles triangle having 3 interior angles 2 of which are equal in size and the 3 angles add up to 180 degrees. Use Pythagoras' theorem to find its altitude and then use trigonometry to find the sizes of its angles. The angles work out as 53 degrees, 53 degrees and 74 degrees
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
All angles in a triangle equal 60 degrees?
If all angles in a triangle are equal to 60 degrees, then the triangle is an equilateral triangle. In an equilateral triangle, all three sides are equal in length. This property is a consequence of the triangle angle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Therefore, if each angle is 60 degrees, the total sum of the angles in the triangle is 180 degrees, satisfying the theorem.
What is the triangle sum theorem?
The theorem that states every triangle's angles add up to 180 degrees
What does the angle sum theorem for triangles state?
Presumably it states that for any triangle its 3 interior angles add up to 180 degrees.
What type of triangle is used in Pythagoras theorem?
Right triangle ( triangle in which one angle is 90 degrees)
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What triangle does the pythagorean theorem relate to?
A right triangle, that is, one with one angle of 90 degrees.
Triangle sum theorem?
The sum of all inner angles within a triangle is 180 degrees.
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
What is triangle sum theorem?
The theorem that the three angles of a triangle can be added up to equal 180 degrees. Don't confuse this with a theory, however; this has been proven true.
What is the name of the theorem that states that the measures of the angles in a triangle add up to 180 degrees?
It isn't a theorm, it is a formula. The formula states that for a polygon with S sides, the sum of the interior angles is equivilant to (S-2)times 180
Why is the sum of the interior angles of a quadrilateral 360 degrees?
This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.
