ta có
A D C ^ + D C B ^ + A ^ + B ^ = 36 0 ∘ \widehat{ADC}+\widehat{DCB}+\widehat{A}+\widehat{B}=360^{\circ} A D C + D C B + A + B = 3 6 0 ∘
= > A D C ^ + D C B ^ = 36 0 ∘ − 20 0 ∘ = 16 0 ∘ =>\widehat{ADC}+\widehat{DCB}=360^{\circ}-200^{\circ}=160^{\circ} = > A D C + D C B = 3 6 0 ∘ − 2 0 0 ∘ = 1 6 0 ∘
= > A D C ^ 2 + B C D ^ 2 = E D C ^ + E C D ^ = 8 0 ∘ =>\dfrac{\widehat{ADC}}{2}+\dfrac{\widehat{BCD}}{2}=\widehat{EDC}+\widehat{ECD}=80^{\circ} = > 2 A D C + 2 B C D = E D C + E C D = 8 0 ∘
= > D E C ^ = 10 0 ∘ =>\widehat{DEC}=100^{\circ} = > D E C = 1 0 0 ∘
ta có
= > A D C ^ + D C B ^ = 16 0 ∘ =>\widehat{ADC}+\widehat{DCB}=160^{\circ} = > A D C + D C B = 1 6 0 ∘
= > A ^ 2 + B ^ 2 = F D C ^ + F C D ^ = 10 0 ∘ =>\dfrac{\widehat{A}}{2}+\dfrac{\widehat{B}}{2}=\widehat{FDC}+\widehat{FCD}=100^{\circ} = > 2 A + 2 B = F D C + F C D = 1 0 0 ∘
= > D F C ^ = 8 0 ∘ =>\widehat{DFC}=80^{\circ} = > D F C = 8 0 ∘
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