Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is




Add 3 on both sides.


Therefore, the required equation of line is
.
Answer: The length of third side is 15.
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The perimeter of given triangle is 44.
One side, suppose a is 18.
Second side, suppose b is 11.
Suppose, third side is c.
So the perimeter will be :


Subtracting 29 in both sides


Hence the length of third side is 15. Answer
Hope it will help :)
Measure of the angle’s complement is 47.42 degree and measure of the angle’s supplement is 137.42 degree
<em><u>Solution:</u></em>
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
<em><u>Finding measure of the angle’s complement:</u></em>
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
<em><u>Finding measure of the angle’s supplement:</u></em>
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