What is the sum of the interior angles of a triangle?
The Triangle Sum Theorem states the sum of the interior angles of a triangle equals 180 degrees. An interior angle is the angle contained by two sides of the triangle that meet at one vertex. The measure of each angle in a triangle can be determined by using the theorem and solving for x.
The Triangle Sum Theorem Interior Angles
Triangle Sum Theorem: The sum of all three interior angles of a triangle is 180 degrees. Interior Angle: An angle formed by two sides of a triangle that meet at one vertex. Vertex: The point at which two sides of a triangle intersect.
Concepts:
The Triangle Sum Theorem was discovered by the Greek mathematician Euclid in about 300BC! The Triangle Sum Theorem works for any type of triangle, including equilateral, isosceles, and scalene triangles. In a right triangle, the sum of the two smaller angles always adds up to 90 degrees!
Fun facts:
What is the sum of the interior angles of a triangle?
What is the missing angle of the interior angles of a triangle if one is 45 and the other is 35?
Brain break: Draw a picture of a dancing ice cream cone that is having a conversation with a flying unicorn!
What is the sum of the interior angles of a triangle?
What is the triangle sum theorem?
- The sum of the angles in a triangle is 180°.
- The sum of the angles in a triangle is 90°.
- The sum of the angles in a triangle is 60°.
- The sum of the angles in a triangle is 45°.
What is the measure of an interior angle of a triangle?
What is the triangle sum theorem also known as?
- The Triangle Interior Angle Sum Theorem.
- The Triangle Exterior Angle Sum Theorem.
- The Triangle Hypotenuse Sum Theorem.
- The Triangle Congruence Theorem.
If the measure of one interior angle of a triangle is 30°, what is the measure of the other two angles?
Draw and label interior angles of a scalene triangle.
Draw and label the interior angles of an equilateral triangle.