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PLEASE HELP GIVE BRAINLIST Exterior Angle
Theorem
On a triangle ABC
Why is A+B=D
Not D=A+B I wrote it backwards

PLEASE HELP GIVE BRAINLIST Exterior Angle Theorem On a triangle ABC Why is ABD Not DAB I wrote it backwards class=

Respuesta :

Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .

What is the formula for the exterior angle theorem?

  • The exterior angle that results from the creation of a triangle side is equal to the product of the two opposite internal angles.
  • Two inside opposite angles that are not adjacent add up to the external angle.
  • A triangle's outer angle is the product of its two inner, diagonally opposing angles.

In this figure,

       Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .

So, According to  Exterior Angle Theorem,

                        ∠D = ∠A + ∠B

Learn more about exterior angle theorem

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Answer:

See explanation below.

Step-by-step explanation:

There is a theorem about the sum of the measures of the angles of a triangle.

In this case, with the interior angle measures called a, b, and c, the theorem states:

Theorem:

The sum of the measures of the interior angles of a triangle is 180°.

a + b + c = 180°

Now we will prove the theorem and answer why a + b = d.

Look at angles c and d. They form a linear pair. Angles that form a linear pair are supplementary angles. By the definition of supplementary angles, the sum of the measures of angles c and d is 180°.

We have

c + d = 180°              Eq. 1

By the theorem above, we have

a + b + c = 180°        Eq. 2

Let's subtract Eq. 1 from Eq. 2:

    a + b + c       = 180°

 -              c + d = 180°

------------------------------

   a + b        - d = 0

a + b - d = 0

Add d to both sides.

a + b = d

That is a proof of the Exterior Angle Theorem.

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