Question

find all angles of triangle if AB parallel to CD​

Answer 1

Answer:

angleACB=80°,angleCBA=40°,ANGLE BAC=60°

Step-by-step explanation:

When AB||CD,AC is a transversal line

Then,

angle A=angle ACD=60°(alternate interior angles)

Then,

angleACB+angleACD+angleDCE=180°(linear pair of angles)

angleACB+60°+40°=180°

angleACB+100°=180°

angleACB=180°-100°

angleACB=80°Ans.....

Then,

angleACB+angleCBA+ANGLE BAC=180°(angle sum property of triangle)

80°+angleCBA+60°=180°

angleCBA+140°=180°

angleCBA=180°-140°

angleCBA=40°Ans.....