Examine the diagram. It is not drawn to scale. Angle Measure in a Triangle Which statements are true based on the given diagram? Select all that apply. ∠1 is a remote interior angle to exterior ∠5. ∠2 is a remote interior angle to both exterior angles 4 and 5. ∠3 is an adjacent interior angle to exterior ∠4. ∠1 and ∠5 are supplementary angles. ∠2 and ∠4 are congruent angles.

Examine the diagram It is not drawn to scale Angle Measure in a Triangle Which statements are true based on the given diagram Select all that apply 1 is a remot class=

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Answer:

∠3 is an adjacent interior angle to exterior ∠4.

∠1 and ∠5 are supplementary angles.

∠2 is a remote interior angle to both exterior angles 4 and 5.

Explanation:

Since ∠5 and ∠1 form a linear pair, that makes them Supplementary Angles.

Adjacent Angles are angles that touch, which in this case you can clearly see.

The remote interior angles are two angles within the triangle and are opposite from the exterior angles.

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∠3 is an adjacent interior angle to exterior ∠4.

∠1 and ∠5 are supplementary angles.

∠2 is a remote interior angle to both exterior angles 4 and 5.

Given that,

Angle Measure in a Triangle in the given diagram,

We have to find,

Which statements are true based on the given diagram.

According to the question,

  • Supplementary angles are those angles that sum up to 180 degrees

Since ∠5 and ∠1 form a linear pair, that makes them Supplementary Angles.

  • Adjacent Angles are angles that touch, which in this case you can clearly see.

Alternate interior angles are the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

∠3 is an adjacent interior angle to exterior ∠4.

  • The remote interior angles are two angles within the triangle and are opposite from the exterior angles.

∠2 is a remote interior angle to both exterior angles 4 and 5.

  • Two angles are congruent if they have the same measure. Two circles are congruent if they have the same diameter.

∠2 and ∠4 are not congruent angles.

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