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Examine the diagram.

A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.

For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°

Respuesta :

akposevictor

The statements that are true regarding the diagram given are:

  • m∠3 + m∠4 = 180° (angles on a straight line)
  • m∠4 = m∠1 + m∠2 (external angle theorem)
  • m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

What is the Triangle Sum Theorem?

The triangle sum theorem states that all the three interior angles in a triangle have a sum of 180 degrees all together.

Thus, in the diagram given, the statements that are all true are:

m∠3 + m∠4 = 180° (angles on a straight line)

m∠4 = m∠1 + m∠2 (external angle theorem)

m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

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Answer:

A, D, E

Step-by-step explanation:

I got it right.

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