in the given figure traingleODC~traingleOAB,BOC=100 traingle ODC 60 then
FIND traingle OAB is equal to
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Answer:
ZDOC + 125º = 180° (linear pair)
+ ZDOC = 180° 125° = 55°
In ADOC
SEDCO + DO + ZDOC = 180° (sum of
three angles of AODC)
ZDCO + 70° +55º = 180°
+ ZDCO + 125° = 180°
> ZADCO = 180° – 125° = 55°
Now we are given that AODC~AOBA
→ ZOCD = ZOAB (Corresponding angles
of similar triangles)
+ ZOOM = ZOCD = ZADCO = 55°
i.e., ZOAB = 55°
Hence we have,
ZDOC = 55°; ZDCO = 55°; ZOAB = 55°
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