Question

This is a challenge problem.
We have to find a pair of supplementary angles also from a linear pair. Then in the figure RX and TY are parallel. Find<S​
Please help me
This is difficult question, I am getting confution
I wait this much time .

In the morning, please send me the answer I will wait.

The time 12:49 PM
Goodnight

Answer 1

Answer:

Step-by-ste(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∘

(iv) Since, the straight lines MS and DK intersect at G, then

∠MGK =  ∠HGS    (Vertically opposite angles)

⇒∠MGK = 85∘p explanation: