Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
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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.
