Measure of the angle’s complement is 47.42 degree and measure of the angle’s supplement is 137.42 degree
Solution:
Given that architect designs a porch support that forms a 42.58 angle with the roof.
To find: measure of the angle’s complement and measure of its supplement
Finding measure of the angle’s complement:
Two angles are Complementary when they add up to 90 degrees
To determine the complement, subtract the given angle from 90
measure of the angle’s complement = 90 - 42.58 = 47.42
Finding measure of the angle’s supplement:
Two angles are supplementary when they add up to 180 degrees
To determine the supplement, subtract the given angle from 180
measure of the angle’s supplement = 180 - 42.58 = 137.42
