Question

In Fig. 6.41, if AB || DE, Z BAC = 35º and Z CDE = 53º, find ZDCE
​

Answer 1

Answer:

∠DCE = 92°

Step-by-step explanation:

AB || DE, ∠ BAC = 35º and ∠ CDE = 53º, find ∠ DCE

∠DCE = ∠CDA + ∠CAD  ( Exterior angle of Triangle = Sum of opposite two angles)

∠BAD  + ∠ADE = 180°  ( AB ║ DE)

∠BAD  = ∠BAC + ∠CAD = 35º + ∠CAD

∠ADE  = ∠ADC +  ∠CDE = ∠ADC + 53°

35º + ∠CAD + ∠ADC + 53°  = 180°

=> ∠CAD + ∠ADC = 92°

=> ∠DCE = 92°

Answer 2

Answer:

best answer is I don't know