Question

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 help

Answer 1

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