If a base angle of a trapezium measures 60 degrees .Find the measure of adjacent angle on the non parallel side.
Share
If a base angle of a trapezium measures 60 degrees .Find the measure of adjacent angle on the non parallel side.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
Step-by-step explanation:
Pair of parallel sides is not known hence there are two possible cases
Case 1:
AB || CD
then if ABCD is isosceles trapezium
Then ∠A = ∠B
=> ∠B = 60°
and ∠C = ∠D = 120° ( as ∠A + ∠D = 180° and ∠B + ∠C = 180°)
Case 2:
BC || AD
Then ∠A + ∠ B = 180°
=> ∠B = 120°
and ∠B = ∠C and ∠A = ∠D
∠B = 60° if AB || CD
∠B = 120° if BC || AD