Find the missing angle

If this is a parallelogram:

∠y = 112°

corners opposite the 112° corners = 68°      [(360° - 112° - 112°)/2 = 68°]

∠z = 68° - 40° = 28°

∠x = ∠z = 28°

x = 28°, y = 112°, z = 28°

Step-by-step explanation:

suppose it's a parallelogram,

in a parallelogram, opposite angles are congruent: y = 112°

40 + 112 + x = 180

=> x = 28°

If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2