In Figure AB||CD, EF||DQ. Determine the measures of Angle PDQ, Angle AED and Angle DEF.
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∴∠AED = ∠CDP
→ ∠AED = 34°
Ray EF stands on AB at E.
∴ ∠AEF + ∠FEB = 180°
→ ∠AED + ∠DEF + ∠FEB = 180°
-- 34° + ∠DEF + ∠FEB = 180°
-- 112° + ∠DEF = 180° - 112° = 68°
Now,EF || DQ || and transversal PE intersects DQ at D andEF at E.
∴∠PDQ = ∠DEF
∠PDQ = 68°
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