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Which statements are always true regarding the diagram? Check all that apply.

m∠5 + m∠3 = m∠1
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°

Which statements are always true regarding the diagram Check all that apply m5 m3 m1 m3 m4 m5 180 m5 m6 180 m2 m3 m6 m2 m3 m5 180 class=

Respuesta :

m∠5 + m∠3 = m∠1  is true.
Explanation:
m∠1 + m∠2 = 180                   (sum of angles on a straight line)   (1)
or m∠2 = 180 - m∠1                                                                         (2)
m∠2 + m∠5 + m∠3 = 180       (sum of angles in a triangle)           (3)
Substitute (2) into (3) to obtain
180 - m∠1 + m∠5 + m∠3 = 180 
m∠5 + m∠3 = m∠1 

m∠5 + m∠6 = 180 is true
Explanation:
Sum of angles on a straight line is 180 deg.

m∠2 +m∠3 = m∠6  is true
Explanation:
The proof is similar as for the first statement.

m∠2 +m∠3 +m∠5 = 180  is true
Explanation:
Sum of angles in a triangle is 180 deg.
Martebi

The statements that are  always true regarding the diagram are:

  • m∠5 + m∠3 = m∠1
  •  m∠5 + m∠6 = 180
  • m∠2 +m∠3 = m∠6
  • m∠2 +m∠3 +m∠5 = 180  

Why is its true?

Note that m∠1 + m∠2 = 180 is known to be the sum of angles on a straight line)   and when you look at it, you will see that it correspond with the diagram.

Note that the sum of angles are of different types such as  triangle's angles , angles on a straight lines, interior angles, etc. From the diagram, if angle m∠5  is added to m∠3, the sum will add up to give m∠1.

Learn more about angles from

https://brainly.com/question/25770607

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