Question

figure line RP || line MS and line DK is their transversal <DHP =85° .find the measures of the following angle 1)<RHD 2)PHG 3)HGS 4)MGK​

Answer 1

Answer:

1) 95

2) 95

3) 85

4) 85

Step-by-step explanation:

(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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