Question

In figure 2.5, line RP || line MS and line DK
is their transversal. ÐDHP = 85°
​

Answer 1

Answer:

(i) Since, RP is a straight line and

ray HD stands on it, then

ZRHD + ZDHP = 180°

linear pair)

→ ZRHD + 85° = 180° =

ZRHD = 180° - 85° = 95°

(ii) Since the straight lines RP and

DK intersect at H, then ZPHG = ZRHD (Vertically

opposite angles)

→ ZPHG = 95°

(iii) Since, the line RP || line MS and line DK is their transversal ZHGS = ZDHP (Corresponding =

intersecting them at H and G, then

angles)

» ZHGS = 85° =

(iv) Since, the straight lines MS and

DK intersect at G, then MGK = ZHGS (Vertically

opposite angles)

→ MGK = 85°

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