m∠3 + m∠4 = 180°
As these 2 angles make up a straight line, the sum of the magnitude of angles is 180° so this is true
m∠2 + m∠4 + m∠6 = 180°
these 3 angles are the interior angles of a triangle. the sum of all the interior angles of a triangle sum up to 180° so this is true.
m∠2 + m∠4 = m∠5
for this statement, use the previously stated concepts
m∠2 + m∠4 + m∠6 = 180°
m∠5 + m∠6 = 180°
since both equations are equal lets put them into one equation
m∠2 + m∠4 + m∠6 =m∠5 + m∠6
since m∠6 is common for both sides lets cancel it out which leaves us with
m∠2 + m∠4 = m∠5
therefore this statement is true
m∠1 + m∠2 = 90°
sum of the angles making up a straight line is 180 °, therefore this is incorrect
m∠4 + m∠6 = m∠2
lets use the following equation
m∠2 + m∠4 + m∠6 = 180°
if m∠6 + m∠4 = m∠2
then using this we substitute in the previous equation
m∠2 + ∠m∠2 = 180°
m∠2 = 90°
so this angle should be a right angle, but in the diagram its not a right angle therefore this is incorrect
m∠2 + m∠6 = m∠5
since
m∠5 + m∠6 = 180°
m∠2 + m∠4 + m∠6 = 180°
then putting both the equations in one as they are both equal
m∠2 + m∠4 + m∠6 = m∠5 + m∠6
this shows that
m∠2 + m∠4 = m∠5
then m∠4 should be equal to m∠6
but judging from the sides opposite to the angles m∠4 and m∠6 the sides aren't equal so these angles too cannot be equal so this statement is wrong.
