Question

A) Work out the size of angle x.
b) Give reasons for your answer.
105°

Answer 1

m∠x = 75°

Explanation:

m∠x and m∠F are corresponding angles.

As lines AD and EH are parallel, m∠x = m∠F

m∠F and 105° form a linear pair

⇒ m∠F + 105° = 180°

⇒ m∠F = 180° - 105° = 75°

As m∠x = m∠F,

⇒ m∠x = 75°