Question

49. line a Il line b Il line c and line m is transversal then how many pairs of congruent alternate angles are formed ? 06 2 12 3 10 4) 4 4​

Answer 1

Answer:

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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Question 2:

In the given figure, line p || line q and line l and line m are transversals. Measures of some angles are shown.

Hence find the measures of ∠a,∠b,∠c,∠d.

ANSWER: