Question

Work out the size of angle x.

Answer 1

x = 13°

Explanation:

angle p + 98° = 180° [angles on a straight line add up to 180°]

p = 180° - 98°

p = 82°

angle q = 85° [alternate angles with the 85° angle]

Inside the yellow triangle:

p + q + x = 180° [angles inside a triangle add up to 180°]

82° + 85° + x = 180°

x = 180° - 82° - 85°

∴ x = 13°