Answer:idk
Step-by-step explanation:
idk
Answer:
We conclude that
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
Given
<1 and <2 form a linear pair
m∠1 = 4m∠2
To determine
Find the measure of each of the two angles.
<u>Important Points about linear pair:</u>
- We know that when two lines meet or intersect, we get a linear pair of angles.
- Linear pairs are basically two adjacent angles that form a line.
- The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
As
<1 and <2 form a linear pair
m∠1 = 4m∠2
In other words, angle 1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
![x + 4x = 180](https://tex.z-dn.net/?f=x%20%2B%204x%20%3D%20180)
![5x = 180](https://tex.z-dn.net/?f=5x%20%3D%20180)
divide both sides by 5
![\frac{5x}{5}\:=\:\frac{180}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%5C%3A%3D%5C%3A%5Cfrac%7B180%7D%7B5%7D)
![\:x=36^{\circ }](https://tex.z-dn.net/?f=%5C%3Ax%3D36%5E%7B%5Ccirc%20%7D)
Thus, we conclude that
- The angle ∠2 = 4x = 4(36°) = 144°
X^2+2x is the expression that represents the area.
This is what a 45 degree angle looks like.
Good luck!