Question

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

Answer 1

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Answer 2

Solution :

Given RP // MS,

DK is a transversal .

And <DHP = 85°

i ) <RHD + <DHP = 180°

[ Linear pair ]

=> <RHD + 85° = 180°

=> <RHD = 180° - 85°

= 95°

ii ) <PHG = <RHD = 95°

[ Vertically opposite angles ]

iii ) <HGS = <DHP = 85°

[ Corresponding angles ]

iv ) < MGK = <HGS = 85°

[ Vertically opposite angles ]

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