hammackkatelyn60
06.04.2021 •
Mathematics
When a discount of 25% is allowed on the marked price , the selling price will be Rs. 1425. If the marked price is above 18.75% above the cost price , what will percent will be gained or loss?
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Ответ:
⇒ ∠DFE = 64°
Step-by-step explanation:
Given that : ΔDEF is an isosceles triangle. ∠FDE is bisected by segment DG
To find : m∠DFE
Solution :
∠FDE is bisected by segment DG creating ∠GDE = 29°
⇒ m∠FDE = 2 × ∠GDE
⇒ m∠FDE = 2 × 29°
⇒ m∠FDE = 58°
Since, ΔDEF is an isosceles triangle
⇒ FD = FE
⇒ ∠FDE = ∠FED (Angles opposite to equal sides are equal)
⇒ ∠FED = 58°
Now, Using angles sum property of a triangle
∠FDE + ∠FED + ∠DFE = 180°
⇒ 58° + 58° + ∠DFE = 180°
⇒ ∠DFE = 180 - 114
⇒ ∠DFE = 64°