Question

Line RP ll line MS and line DK is their transversal. ∠ = 85 °.





Find the measures of the following angles.

1.∠ 2. ∠ 3. ∠S​

Answer 1

Answer:

i)

$\large\angle \: RHG = \angle \: DHP$

$\therefore \huge \boxed{ \angle \: RHG = 85°}$

[ Since they are vertically opposite angles ]

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ii)

$\angle \: RHG + \angle \: PHG = 180 \degree$

[ Since they are linear pair of angles ]

$\large \angle \: PHG = 180 - 85$

$\therefore\huge \boxed{ \angle \: PHG = 95 \degree}$

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iii)

$\large \angle \: DPH = \angle \: HGS$

[ Since they both are corresponding angles ]

$\therefore \huge \boxed{ \angle \: DPH =85 \degree}$

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