in the diagram below,AOB,COD is four times AOB and DOA is five times,find the values of all the four angles.
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AOB AND DOA FORM LINEAR PAIR OF ANGLES
DOA=5AOB=5p
hence, DOA+AOB=180°
5p+p=180
6p=180
p=30
AOB=30°
DOA=5×30=150°
COD=4AOB=4×30=120°
COD AND COB FORM LINEAR PAIR OF ANGLES
COD+COB=180
120+COB=180
COB=60°
DOA=5AOB=5p
hence, DOA+AOB=180°
5p+p=180
6p=180
p=30
AOB=30°
DOA=5×30=150°
COD=4AOB=4×30=120°
COD AND COB FORM LINEAR PAIR OF ANGLES
COD+COB=180
120+COB=180
COB=60°
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