The measure of angle b is one-half the measure of its complement. What is the measure of b

b = 30 degrees.

Step-by-step explanation:

Two angles are said to be complement of each other if their sum is 90 degrees

given

one angle is b

let other angle be x

given that  angle b is one-half the measure of its complement

thus, mathematically we can the above statement as

b = 1/2(x)

now sum of both the angle will be 90 degrees as they are complementary

b + x = 90

using b =  1/2(x)

=> 1/2(x) + x = 90

=> x/2 + x = 90

=> (x +2x)/2 = 90

=> 3x = 180

=> x = 180/3 = 60

thus,

b =  1/2(x) =  1/2(60) = 30

thus, measure of angle b is 30 degrees.

answer: l

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17