Question

Work out the size of angles x, y and z.

Answer 1

x = 41° , y = z = 74°

Explanation:

x and 41 are alternate angles and are congruent , then

x = 41°

the 2 sides of the triangle with vertex = 32° are congruent so the triangle is isosceles with base angles being congruent , then

y =
`(180-32)/(2)` =
`(148)/(2)` = 74°

y and z are vertically opposite angles and are congruent so

z = 74°