Question

figure line RP || line MS and line DK is their transversal <DHP =85° .find the measures of the following angle​

Answer 1

Step-by-step explanation:

i. ∠DHP = 85° …..(i) ∠DHP + ∠RHD = 180° [Angles in a linear pair] 85° + ∠RHD = 180° ∴ ∠RHD = 180°- 85° ∴ ∠RHD = 95° …..(ii) ii. ∠PHG = ∠RHD [Vertically opposite angles] ∴ ∠PHG = 95° [From (ii)] iii. line RP || line MS and line DK is their transversal. [Corresponding angles] ∴ ∠HGS = ∠DHP …..(iii) [From (i)] iv. ∠HGS = 85° [Vertically opposite angles] ∴ ∠MGK = ∠HGS ∠MGK = 85° [From (iii)]