Question

i) In figure line RP || line MS and line DK is their
transversal. ZDHP = 85° Find the measures of
following angles.
(a) ZRHD (b) ZPHG (c) ZHGS (d)ZMGK​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

Explanation:

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  

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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 ]