Question

A trapezium is shown below.

Work out the sizes of angles x and y.
Give your answers in degrees (°)

Answer 1

x = 105° , y = 38°

Explanation:

In a trapezium

Each lower base angle is supplementary to the upper base angle on the same side , that is

x + 75° = 180° ( subtract 75° from both sides )

x = 105°

and

y + 142° = 180° ( subtract 142° from both sides )

y = 38°