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The Triangle Angle-Sum Theorem just states that the angles of any triangle must add up to be 180 degrees. For example, suppose you have triangle ABC and m<A=65 and m<B=36. Well, what is the measure of angle C? We can solve for <C by using the Triangle Angle-Sum Theorem. All we do is set up an equation like so: m<A + m<B + m<C = 180. Now just fill in the values we know, so the equation is now: 65 + 36 + x = 180. Now simply and solve for x and you get that x=79. Just to check you work, add up 65, 36, and 79 and you will get 180.
What else can I help you with?
Give a example of theorem on geometry?
An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle.
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
Which theorem states that the angle measures in a triangle sum to 180?
The theorem that states the angle measures in a triangle sum to 180 degrees is known as the Triangle Sum Theorem. This fundamental property of triangles applies to all types of triangles, regardless of their shape or size. It is often used in geometry to solve for unknown angles when given the measures of other angles in a triangle.
What is a right angle theorem?
It is Pythagoras' theorem that states for any right angle triangle when its hypotenuse is squared it is equal to the sum of its squared sides.
What is the 30 60 right triangle theorem?
It is Pythagoras' theorem that states for any right angle triangle its hypotenuse when square is equal to the sum of its squared sides.
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
Give a example of theorem on geometry?
An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle.
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 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.
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
Which theorem states that the angle measures in a triangle sum to 180?
The theorem that states the angle measures in a triangle sum to 180 degrees is known as the Triangle Sum Theorem. This fundamental property of triangles applies to all types of triangles, regardless of their shape or size. It is often used in geometry to solve for unknown angles when given the measures of other angles in a triangle.
What is a right angle theorem?
It is Pythagoras' theorem that states for any right angle triangle when its hypotenuse is squared it is equal to the sum of its squared sides.
Does the theorem hold true if the triangle is not a right triangle?
Pythagoras' theorem is only applicable to a right angle triangle in that the square of its hypotenuse is equal to the sum of its two squared sides.
What is the 30 60 right triangle theorem?
It is Pythagoras' theorem that states for any right angle triangle its hypotenuse when square is equal to the sum of its squared sides.
What is the theorem that goes with any right triangle?
It is Pythagoras' theorem that states for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides.
What the Pythagorean Theorem?
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
How do you find the exterior angle theorem?
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. To find the exterior angle, extend one side of the triangle and measure the angle formed outside the triangle. You can then calculate this angle by adding the measures of the two opposite interior angles. This theorem is useful in solving problems involving triangle geometry and angle relationships.
