In fig.6.29, find <ACD and <AED.
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/_ AED=/_B+/_E (exterior /_ = sum of two interior angles)
=30°+30°
=60°
Now,
/_ E+/_C+/_D=180°
2/_C+50°=180°
2/_C=180°-50°
2/_C=130°
/_C=130°/2
/_C=65°
/_E=/_C=65°
/_C=65°
/_E=60°
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Answer:
Step-by-step explanation:in ∆ABC
angleA+angleB+angleC=180
30+30+x=180
x=180-60
x=120
<ACB+<ECD=180(linear pair)
120+<ECD=180
<ECD=180-120=60
In ∆ ECD
<E+<C+<D=180
60+50+<E=180
<E=70
<AED+<CED=180
<AED=180-70=110
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