SOLUTION: ∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle.
If someone could help me with this,
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Question 480050: ∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle.
If someone could help me with this, I would be grateful. Also, to get a better understanding of this, would you mind showing me how you arrived to your answers? Thank you so much!
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:
∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC.
supplementary angles: they add up to °
∠DEF=4*∠ABC.......substitute ∠DEF in ∠DEF + ∠ABC=°
∠DEF + ∠ABC=°
4*∠ABC + ∠ABC=°
5*∠ABC =°
∠ABC =°
∠ABC =°....now find ∠DEF
∠DEF=4*∠ABC
∠DEF=4*°
∠DEF=°
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