Question

Please solve these questions....​

Answer 1

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Please solve these questions....

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(a)

Angle AOC =47°

AOC+COB=180° (Lenior pair)

47+COB=180

COB=180-47

COB=133°

AOC=DOB ( Vertical opposite angle)

DOB=47°

AOD=COB (Vertical opposite angle)

AOD=133°

(b)

SOQ=POR (Vertical opposite angle)

POR=105°

SOQ+SOP=180 (Lenior pair)

105+SOP=180

SOP=75°

SOP=QOR

QOR=75°

MR.SKETCH✌️

Answer 2

Answer:

(a)<AOC +<BOC = 180° (linear pair)

=> 47° + <BOC = 180°

=> <BOC = 133°

Now ,

<BOC = <AOD = 133° (vertically opposite angle)

=> <AOD = 133°

also, <AOC = <BOD (vertically opposite angle)

=> <BOD = 47°

(b) <SOQ +<QOR = 180°(linear pair)

=> <QOR + 105° = 180°

=> <QOR = 75°

Now,

<SOQ = <POR (vertically opposite angle)

<POR = 105°

also,

<ROQ = <POS (vertically opposite angle)

<ROQ = 75°

hope it helps :-))