What is the measure of ∠x angles are not necessarily drawn to scale.

58 degrees

Step-by-step explanation:

The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.

So just subtract:

180-56-66= 58 degrees

it works because the lines are parallel in the picture.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."