Question

1. In figure 2.5, line RP || line MS and line DK
is their transversal. ZDHP = 85°
Find the measures of following angles.
(iii) ZHGS
(iv) ZMGK​

Answer 1

Answer: check the attachment

Step-by-step explanation: $(i) RHD+DHP=180°(LINEAR PAIR)RHD+85=180RHD=180-85THEREFORE, RHD= 95°(ii) PHG=RHD( vertically opposite angle)THEREFORE, PHG =95°(iii) HGS = DHP(CORRESPONDING ANGLE)THEREFORE HGS = 85°(iv) MGK = HGS ( vertically opposite angle)THEREFORE MGK= 85°$