Answer:
m∠ECD = 145°
m∠FCA = 35°
m∠PDF = 70°
Explanation:
For ∠ECD:
- You can find this angle using supplementary angles. ∠ECD and ∠ECB are supplementary, meaning they add to 180°. Since the measure of ∠ECB is provided, you can subtract that from 180° to get m∠ECD:
180 - 35 = 145°, so m∠ECD = 145°
For ∠FCA:
- You can solve this problem using the Vertical Angles theorem. It states that vertical angles are congruent. ∠FCA's vertical angle pair is ∠ECB, which is 35°, so you can deduce that m∠FCA = 35°
For ∠PDF:
- You can find the measure of this angle by using supplementary angles like for ∠ECD. ∠PDC is supplementary to ∠PDF, and it's value is given. so you can find PDF by subtracting the value of ∠PDC from 180:
180 - 110 = 70°; m∠PDF = 70°