Q. 34.4( 234 Votes )

# In Fig. 6.41, if AB || DE, ∠ BAC = 35° and ∠ CDE = 53°, find ∠ DCE.

Answer :

Given: AB parallel DE, BAC = 35oCDE = 53o

To Find: ∠DCE

According to question,

BAC = CED (Alternate interior angles)

Therefore,

CED = 35o

Now, In Δ DEC,

DCE + CED + CDE = 180o (Sum of the interior angles of the triangle)

DCE + 35o + 53o = 180o

DCE + 88o = 180o

DCE = 92o

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Angle Sum Property44 mins
Quiz | Lines and Angles40 mins
Quiz | Lines and Angles43 mins
Lines and Angles45 mins
Quiz | Lines and Angles45 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Quiz | Angle Sum Property of Triangle40 mins
Quiz | Imp. Qs. on Lines and Angles30 mins
NCERT | Lines and Angles Part - 142 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses