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1. In figure 2.5, line RP || line MS and line DK is their transversal. DHP = 85° Find the measures of following angles.
(i) RHD (ii) PHG (iii) HGS (iv) MGK
Solution:
Given RPMS.
DK is the transversal.
(i) DHP = 85˚
RHD = 180-85 = 95˚ [Linear pair]
(ii) PHG = RHD = 95˚ [RHD and PHG are vertically opposite angles]
(iii)HGS = 180-95 = 85˚ [PHG and HGS are corresponding interior angles]
(iv)MGK = HGS = 85˚ [Vertically opposite angles]
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