Question

A, B & C lie on a straight line.

D, B & E lie on a different straight line.
∠
CBE = 48°.
Work out the angle marked
x
.

Answer 1

Answer:Since lines AB and DE are parallel, corresponding angles are congruent. This means that angle x (which is formed by lines AB and DE) is congruent to angle CBE (which is formed by lines DE and BC). Therefore, angle x is also equal to 48 degrees.

x = 48°

Answer 2

The angle marked x can be calculated using the angle sum property of a triangle. Since ∠CBE = 48° and ∠DBC + ∠BCE = 180°, then x = 180° - 48° = 132°.