Answer:
Step-by-step explanation:
Please help and Please only answer if you actually know the answer. Also please fill in all the blanks Assume line q is parallel to line m. Choose from the drop-down menus to solve for m<6:
<1 is in a linear pair with an angle of 105°
Therefore m<1 = blank
<2 is in a linear pair with an angle of 120°
Therefore m<2 = Blank
By the Triangle Sum Theorem m<1 +m<2+m<7= Blank
Therefore m<7= blank
<7 and <6 are blank angles therefore m<6= blank​
Assuming line qq is parallel to line mm:
∠1 is in a linear pair with an angle of 105°∴m∠1=180°−105°=75°∠2 is in a linear pair with an angle of 120°∴m∠2=180°−120°=60°By the Triangle Sum Theorem, m∠1+m∠2+m∠7=180°∴m∠7=180°−(m∠1+m∠2)=180°−(75°+60°)=45°∠7 and ∠6 are corresponding angles as q∥m∴m∠6=m∠7=45°
∠1∴m∠1∠2∴m∠2By the Triangle Sum Theorem, ∴m∠7∠7 and ∠6∴m∠6​ is in a linear pair with an angle of 105°=180°−105°=75° is in a linear pair with an angle of 120°=180°−120°=60°m∠1+m∠2+m∠7=180°=180°−(m∠1+m∠2)=180°−(75°+60°)=45° are corresponding angles as q∥m=m∠7=45°​
Therefore, filling in the blanks:
m∠1=75°m∠2=60°m∠7=45°m∠6=45°
m∠1m∠2m∠7m∠6​=75°=60°=45°=45°​
