(A) 66
(B) 56
Two parallel lines are i
alternate interior angles is
(A) 105°
(B) 15°
PQ and ray PR are perpetually
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i can't understand sorry
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Since, RP is a straight line and ray HD stands on it, then
∠RHD + ∠DHP = 180∘ (angles in a linear pair)
⇒∠RHD + 85∘ = 180∘
⇒∠RHD = 180∘ − 85∘ = 95∘
(ii) Since the straight lines RP and DK intersect at H, then
∠PHG = ∠RHD (Vertically opposite angles)
⇒∠PHG = 95∘
(iii) Since, the line RP || line MS and line DK is their transversal intersecting them at H and G, then
∠HGS = ∠DHP (Corresponding angles)
⇒∠HGS = 85∘
(iv) Since, the straight lines MS and DK intersect at G, then
∠MGK = ∠HGS (Vertically opposite angles)
⇒∠MGK = 85∘
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