Question

In the given figure, ABCD is a trapezium. Find the values of x and y.

Answer 1

The figure is given as follows:

erefore,

 ∠A + ∠D = 180°

It is given that ∠A = x + 20° and ∠D = 2x + 10°.

(x + 20°)+ (2x + 10°) = 180°

                  3x + 30° = 180°

                          3x = 180° - 30°

                           3x = 150°

 x = 50°

Similarly,

y + 92° = 180°

y = 180° - 92°

y = 88°

Hence, the required values for x and y is  50° and 88° respectively.