In the figure, ∠4 is an exterior angle to AUL

(a) Explain why m∠4 is equal to the sum of the measures of the two nonadjacent interior angles.

(b) What is m∠4 ?

Check the picture below.

a)

180° - ∡3 = non-adjacent angles

and

180° - ∡3 = ∡4

b)

∡4 = sum of non-adjacent angles = 77°

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are