Question

A) (i) Write down the value of x.

(ii) Give a reason for your answer.
b) (i) Write down the value of y.
(ii) Give a reason for your answer.
c) Work out the size of angle z.​

Answer 1

see explanation

Explanation:

x = 65° ( vertically opposite angles )

y = 71° ( alternate angles )

The sum of the 3 angles in a triangle = 180° , then

x + y + z = 180° , that is

65° + 71° + z = 180°

136° + z = 180° ( subtract 136° from both sides )

z = 44°

So x = 65°, y = 71° , z = 44°