Question

ABCD is an isosceles trapezium in which AD║BC. If ∟A = x , ∟B= 3x, find the measure of ∟A and ∟C.

Answer 1

Answer:

Here, ABCD is isosceles trapezium.

An isosceles trapezium has a pair of parallel sides.

∴ AB∥CD

Its non parallel sides are equal.

∴ AD=BC

Diagonals of an isosceles trapezium are equal.

⇒ AC=BD

Base angles of equal sides has equal angles.

∴ ∠C=∠D

solution