plzz help it's urgent and no unnecessary answers or I will report
plz answer both questions
i will mark u as brainlist answer
Answers
Answer:
Q1: We know , PQ // RS
Let AB be a transversal passing through PQ and RS
we get , <ABC = <PAB = 70° ( alternate interior angles )
Now , let AC be the transversal , we get
<PAC = <ACS ( alternate int , angles )
< PAC = <PAB +<BAC = 100°
< BAC = 100 - 70
<BAC = 30°
< CAQ = 180 - ( 70 + 30)
< CAQ = 80°
Q2: Firstly prove AB // CD
Construction : extend lines AB and CD
AB till N and CD till M
let BC be the transversal , we know if alternate interior angles are equal then the lines are parallel
So , se get
<BCE + < ECD = 66° = < ABC
So, AB // CD
Secondly , prove CD // EF
here too , we will prove them parallel using the alternate int . angle theorem
< ECM = 180 - 30 ° (ANGLES ON A SRT. LINE)
< ECM = 150°
So , < ECM = < CEF
so, line CD // EF
if AB // CD AND CD // EF , then
AB // EF
hence proved.
hope it helps ..