We can see that ∠BFD is an exterior angle to the parallel lines AB and CD, and thus, it is equal to the sum of the two opposite interior angles:
∠BFD = ∠ABF + ∠CDF
Substituting the given values:
35° = 60° + ∠CDF
Now, let's solve for ∠CDF:
∠CDF = 35° - 60°
∠CDF = -25°
So, CDF is -25°. However, angles are typically measured as positive values between 0° and 360°, so we can consider CDF as 360° - 25° to get a positive value:
Answers & Comments
Step-by-step explanation:
Given:
1. AB is parallel to CD.
2. ∠ABF = 60°
3. ∠BFD = 35°
We can see that ∠BFD is an exterior angle to the parallel lines AB and CD, and thus, it is equal to the sum of the two opposite interior angles:
∠BFD = ∠ABF + ∠CDF
Substituting the given values:
35° = 60° + ∠CDF
Now, let's solve for ∠CDF:
∠CDF = 35° - 60°
∠CDF = -25°
So, CDF is -25°. However, angles are typically measured as positive values between 0° and 360°, so we can consider CDF as 360° - 25° to get a positive value:
∠CDF = 360° - 25°
∠CDF = 335°
Therefore, ∠CDF is 335°.