Question

In the figure, ΔPQR is right angled at Q, ML ||RQ and

∠LMR = 130o

. Find ∠LPM, ∠PML and ∠PRQ.​

Answer 1

Answer:

SIMPLE

∠PML= 50° because ∠PML and <RML are linear pair angles

∠PRQ = 50° because <LMR AND<MRQ co interior angles when Mr is transversal

AND FOR FINDING ANGLE P

WE NEED ANGLE L

ML AND RQ ARE PARALLEL AND LET LQ BE AS TRANSVERSAL

AS AT Q IS 90° CO INTERIOR ANGLES ARE SUPPLEMENTARY HENCE L = 90°

AND MLP WILL BECOME 90

IN TRAINGLE PML

BY ANGLE SUM PROPERTY

X+50+90=180

X+140=180

X=180-140

X= 40

SO YOUR ANSWERS ARE

∠LPM = 40°

∠PML = 50°

∠PRQ = 50°

I HOPE IT IS USEFUL