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°

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.

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