A, B & C lie on a straight line. D, C & E lie on a different straight line.
Angle
y
= 96° and angle
z
= 52°.
Work out
x

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

Angle ∠BCE = x = 136.