Given m∠1=65°, find the measure of each missing angle. Give your reasoning.

Step-by-step explanation:

See attachment for complete question.

Given

Required

Determine the missing angles

m1 and m2 are supplementary angles.

Meaning that:

Substitute 65 for m1

m1 and m3 are vertically opposites.

m2 and m4 are also vertically opposites.

So:

and

i.e.

When parallel lines are traversed by a line, the corresponding angles are equal.

This means that:

Because they are all corresponding angles.

So:

answer: it's d

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is