Step-by-step explanation:
m∠3 + m∠4 = 180°
TRUE - they are supplementary angles
m∠2 + m∠4 + m∠6 = 180°
TRUE - measureas of angles in a triangle add up to 180°
m∠2 + m∠4 = m∠5
TRUE, because
m∠2 + m∠4 + m∠6 = 180° and m∠6 + m∠5 = 180°
therefore m∠2 + m∠4 + m∠6 = m∠6 + m∠5 subtract m∠6 from both sides
m∠2 + m∠4 = m∠5
m∠1 + m∠2 = 90°
FALSE, because m∠1 + m∠2 = 180°
m∠4 + m∠6 = m∠2
FALSE, because
m∠4 + m∠6 + m∠2 = 180° subtract m∠2 from both sides
m∠4 + m∠6 = 180° - m∠2
m∠2 + m∠6 = m∠5
FALSE, because
m∠5 + m∠6 = 180° subtract m∠5 from both sides
m∠6 = 180° - m∠5 add m∠2 to both sides
m∠2 + m∠6 = 180° - m∠5 + m∠2
