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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.

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Related Questions

What is the triangle sum theorem?

The theorem that states every triangle's angles add up to 180 degrees


Triangle sum theorem?

The sum of all inner angles within a triangle is 180 degrees.


what- It follows from the Triangle Sum Theorem that the acute angles of a right triangle are?

complementary


What is the triangle angle sum theorem?

The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees


What does the triangle inequality theorem state?

The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.


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.


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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.


Pythagorean theorem says that the triangle is a?

A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.


What is the converse of Pythagoras's theorem?

The converse of Pythagoras's theorem states :- "If the square of one side of a triangle is equal to the sum of square of other two sides then the triangle is a right angled triangle""


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.