1. आकृती 2.5 मध्ये रेषा RP || रेषा MS व रेषा DK
ही त्यांची छेदिका आहे. ÐDHP = 85°
तर खालील कोनांची मापे काढा.
(i) ÐRHD (ii) ÐPHG
(iii) ÐHGS (iv) ÐMGK
Answers
Given : रेषा RP || रेषा MS व रेषा DK ही त्यांची छेदिका आहे. m∠DHP = 85°
Line RP || Line MS are intersected by transversal DK
To Find : कोनांची मापे
Measure of angles
(i) ∠RHD
(ii) ∠PHG
(iii) ∠HGS
(iv) ∠MGK
Solution:
∠RHD and ∠DHP forms a linear pair
Hence m∠RHD + m∠DHP = 180°
=> m∠RHD + 85° = 180°
=> m∠RHD = 95°
∠PHG and ∠DHP forms a linear pair
Hence m∠PHG + m∠DHP = 180°
=> m∠PHG + 85° = 180°
=> m∠PHG = 95°
∠HGS and ∠DHP are corresponding angles
=> m∠HGS = m∠DHP
=> m∠HGS = 85°
∠MGK and ∠HGS are vertically opposite angles
=> m∠MGK = m∠HGS
=> m∠MGK = 85°
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