An architect designs a porch support that forms a 42.58 angle with the roof. what is the measure of the angle’s complement? what is the measure of its supplement?

pls

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

u rich

step-by-step explanation: