Answer to Question #349011 in Geometry for Ueji

Question

Give p //q,s and transversals.find the measures of all the other angles of m/_1=75 and m/_2=35

Answer 1

$$m\angle 3=180\degree-(m\angle1+m\angle 2)$$

$$=180\degree-(75\degree+35\degree)=70\degree$$

$$m\angle 4=m\angle3=m\angle 8=m\angle 11=70\degree$$

$$m\angle 5=m\angle2=35\degree$$

$$m\angle 6=m\angle1=m\angle 9=m\angle 14=75\degree$$

$$m\angle 7=180\degree-m\angle 8=180\degree-70\degree$$ $$=110\degree=m\angle 12$$

$$m\angle10=180\degree-m\angle 9=180\degree-75\degree$$ $$=105\degree=m\angle 13$$