Find the measure of the exterior ∠1.

Option A

Step-by-step explanation:

Since, ∠1 is an exterior angle of the given triangle

Measure of angle 1 will be equal to the sum of two opposite interior angles.

m∠1 = 40° + 30°

m∠1 = 70°

Therefore, Option A will be the answer.

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