Question

Please help me if anyone can

Answer 1

1)Angle q=angle r becsuse PQ=PR


2) because LMis parrallel to QR
And PQ is the transversal
So PLM=ANGLE Qas correspobding angles are equal when tqo lines are parallel


3) same reason as 2 only change the angles and transversal


4) angleQ =anglePLM
angle R=anglePML
AS angleQ=ANGLER
SO ANGLE PLM=PML


5) AS PLM=PML THUS PL=PM
SO PLM IS ISOSCELES

Answer 2

i)∠Q = ∠R  (Angles opposite to equal sides are equal)
ii) ∠PLM = ∠Q (PQ is a line traversed by 2 parallel lines LM and QR and                                 hence corresponding angles are euqal)
iii) ∠PML = ∠R  (Same as above, PR is a line traversed by 2 parallel lines                                 LM and QR)
iv) ∠PLM = ∠PML (Any line drawn parallel to QR in ΔPQR, bisects the                                       sides PQ and PR in this case PL = PM)
v) ΔPLM is isosceles  (since PL = PM, it is an isosceles triangle)