Question

In figure 2.5, line RP || line MS and line DK is their transversal. ZDHP = 85° Find the measures of following angles.

(i) ZRHD
(ii) ZPHG
(iii) ZHGS
(iv) ZMGK​

Answer 1

(i) RHD+DHP=180°(LINEAR PAIR)

RHD+85=180

RHD=180-85

THEREFORE, RHD= 95°

(ii) PHG=RHD( vertically opposite angle)

THEREFORE, PHG =95°

(iii) HGS = DHP(CORRESPONDING ANGLE)

THEREFORE HGS = 85°

(iv) MGK = HGS ( vertically opposite angle)

THEREFORE MGK= 85°

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Answer 2

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