Question

18. In the adjoining figure, PQ1 SQ. Show that x=y.​

Answer 1

Answer:

in∆PQR,

PQR+RPQ=PRS(exterior angle property)

90° +y°=115°

y= 25°___(i)

Now,in ∆ PRS

PRS+PSR+SPR= 180°(Angle sum property of a ∆)

115+40+x=180

155+x=180

x= 25°____(ii)

from equations (i) & (ii) we get

x°= y°