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Math  /  Geometry

QuestionTriangular Swan Portfolio The 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; KO≅FO,JN≅JODE≅CE≅EF∠BCD≅∠BDCK O \cong F O, J N \cong J O D E \cong C E \cong E F \quad \angle B C D \cong \angle B D C; ∠CGF≅∠CFG;∠HKN≅∠HNK;△GCF≅△GKF≅△JHM;△KFH≅△KLH\angle C G F \cong \angle C F G ; \angle H K N \cong \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
1. m∠ABCm \angle A B C
9. m∠CEDm \angle C E D
17. m∠KFGm \angle \mathrm{KFG}
25. m∠HIMm \angle \mathrm{HIM}
33. m∠OKNm \angle O K N
18. m∠CKFm \angle C K F
26. m∠HMIm \angle \mathrm{HMI}
34. mLINO

Studdy Solution
Assuming ∠LINO\angle LINO is part of a congruent triangle similar to those previously discussed, it is:
m∠LINO=60∘ m \angle LINO = 60^\circ
The measures of the angles are:
1. m∠ABC=60∘ m \angle ABC = 60^\circ
9. m∠CED=60∘ m \angle CED = 60^\circ
17. m∠KFG=60∘ m \angle KFG = 60^\circ
25. m∠HIM=60∘ m \angle HIM = 60^\circ
33. m∠OKN=60∘ m \angle OKN = 60^\circ
18. m∠CKF=60∘ m \angle CKF = 60^\circ
26. m∠HMI=60∘ m \angle HMI = 60^\circ
34. m∠LINO=60∘ m \angle LINO = 60^\circ

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