Math, asked by meghakharbikar05, 17 days ago

Solve the following question
please ​

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Answers

Answered by bhaleuday30
2

Answer:

(i) 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

(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

Step-by-step explanation:

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