Answer:
Therefore x = 33° , y = 40° and z = 109°.
Step-by-step explanation:
i) from properties of parallel lines a pair of alternate interior angles are equal
Therefore x = 33°
ii) from properties of parallelogram that a pair of opposite angles are equal, Therefore z = 109°.
iii) from the law of triangle that the sum of all angles in a triangle is 180° and also using the property of parallel lines that a pair of alternate interior angles is equal we can say that x° + y° + z° = 180° ⇒ 31° + y° + 109° = 180°, therefore y° = 180° - 140° = 40°.
Therefore x = 33° , y = 40° and z = 109°.
