Q. 73.8( 24 Votes )
In the given figure, AB||CD. Prove that 
-
=
.
Answer :
Draw a line EF||AB||CD.
+
=180° [Because AB||EF and AE is the transversal] __________________ (i)
+
=180° [Because DC||EF and CE is the transversal] __________________ (ii)
From equations (i) and (ii)
⇒ 
+
=
+
⇒ 
-
=
-
⇒ 
-
= 
Proved.
Rate this question :
Quiz | Lines and Angles40 mins
Quiz | Lines and Angles43 mins
Lines and Angles45 mins
Quiz | Lines and Angles45 mins
NCERT | Angle Sum Property44 mins
Smart Revision | All Types of Angles31 mins
Bonus Questions on Lines and Angles42 mins
NCERT | Lines and Angles Part - 142 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Two complementary angles are in the ratio 4:5 Find the angles.
RS Aggarwal & V Aggarwal - MathematicsFind the angle which is five times its supplement.
RS Aggarwal & V Aggarwal - MathematicsIn ∆ABC, AB=AC and the bisectors of ∠B and ∠C meet at a point O. prove that BO=CO and the ray AO is the bisector of ∠A.
ABC is a triangle in which AB=AC. If the bisectors of ∠B and ∠C meet AC and AB in D and E respectively, prove that BD=CE.
In Figure, BA ⊥ AC, DE ⊥ DF such that BA = DE and BF = EC. Show that ΔABC ≅ΔDEF.
Find the angle whose complement is four times its supplement.
RS Aggarwal & V Aggarwal - MathematicsTwo supplementary angles are in the ratio 3:2 Find the angles.
RS Aggarwal & V Aggarwal - MathematicsIn two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.
RD Sharma - Mathematics