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Grade: 12th pass

                        

3. In figure, if AB 11 DE, LBAC = 35° and LCDE = 53°, find LDCE. A DE

3. In figure, if AB 11 DE, LBAC = 35° and LCDE = 53°, find LDCE.

A

DE

one month ago

Answers : (1)

Pawan Prajapati
askIITians Faculty
4730 Points
							AB II DE and AE is.transversal. 
.. LDEC = LBAC = 35° ...(i) 
Now, in triangle CDE, 
LCDE = 53° ...(ii) [Given] and LDCE + LDEC + LCDE = 180° 
[Sum of angles of a triangle is 180°.] 
::) LDCE +.35° + 53° = 180° [From (i) and (ii)] 
::) LDCE = 180° - 88° = 92°.
						
one month ago
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