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Nat2105 [25]
1 year ago
6

Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =

180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Mathematics
1 answer:
DanielleElmas [232]1 year ago
8 0

Based on the triangle sum theorem, exterior angle theorem, the true statements are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>

According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.

Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.

∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.

In summary, the true statements about the diagram given are:

  • m∠5 + m∠6 = 180°
  • m∠2 + m∠3 = m∠6
  • m∠2 + m∠3 + m∠5 = 180°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

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