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Math  /  Geometry

QuestionThe swan below is composed of several triangles. Use the given information and the figure to find each angle measure. Note: Figure not drawn to scale.
Given: △ABC\triangle A B C is equilateral; DE‾≅CE‾≅EF‾\overline{D E} \cong \overline{C E} \cong \overline{E F} loverline {DE}\{\mathrm{DE}\} \{congloverlinc {CE}\{\mathrm{CE}\} /congloverline {EF};KO‾≅FO‾\{\mathrm{EF}\} ; \overline{K O} \cong \overline{F O} loverline {KO}\{\mathrm{KO}\} \congloverline {FO};JN‾≅JO‾\{\mathrm{FO}\} ; \overline{J N} \cong \overline{J O} loverline {JN}\{\mathrm{JN}\} /congloverline {JO};∠BCD≅∠BDC;CGF≅∠CFG;∠HKN≅\{\mathrm{JO}\} ; \angle B C D \cong \angle B D C ; C G F \cong \angle C F G ; \angle H K N \cong ∠HNK;△GCF≅△GKF≅△JHM;△KFH≅△KLH\angle H N K ; \triangle G C F \cong \triangle G K F \cong \triangle J H M ; \triangle K F H \cong \triangle K L H
Triangular Swan Portfolio Print the document so that you can write on it and mark the pictureshowin congruent sides - (2 points)
1. m∠ABC=m \angle \mathrm{ABC}= 60
2. m∠BCA=m \angle B C A= 60 □\square
3. m∠CAB=m \angle \mathrm{CAB}= 60 □\square
4. m∠BCD=m \angle B C D= 70 □\square
5. m∠BDC=∣70m \angle \mathrm{BDC}=\mid 70

Studdy Solution
Use isosceles and congruent triangle properties to find other angles:
This step requires more information about the specific triangles and angles in the swan figure, which is not provided in the problem statement. Therefore, we cannot proceed further without additional details.
The angles determined so far are:
1. m∠ABC=60∘ m\angle ABC = 60^\circ
2. m∠BCA=60∘ m\angle BCA = 60^\circ
3. m∠CAB=60∘ m\angle CAB = 60^\circ
4. m∠BCD=70∘ m\angle BCD = 70^\circ
5. m∠BDC=70∘ m\angle BDC = 70^\circ

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