Question

find x and y in the following trapezium. please answer the question with step by step explanation​

Answer 1

Answer:

x = 60°, y = 80°

Step-by-step explanation:

In trapezium ABCD, angle A = 100°

Property of trapezium (The sum of Adjacent Angles on parallel sides of trapezium is 180°)

Then, angle A + angle D = 180°

= 100 + angle D = 180°

Angle D = 180 - 100 = 80°

i.e. angle y = 80°

Angle sum property of triangle = 180°

Then, angle C + angle D + angle P = 180°

(angle C = angle x)

Then, angle x + 80° + 40° = 180°

angle x = 180 - 120 = 60°

angle x = 60°

HOPE IT HELPS YOU!