Find the values of the variables xy, and z in the parallelogram. the diagram is not drawn to scale

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°.

correct answer:

i^31 = -i

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.