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


divide both sides by 5


Thus, we conclude that
- The angle ∠2 = 4x = 4(36°) = 144°
Answer:
w < 13
Step-by-step explanation:
variable: w
Inequality: 8 + 2w < 34
Solution: 2w < 26
w < 13
Length +width+length+width
Answer:
multiply 65 by 5 and divide by 1 fourth
Step-by-step explanation:
Answer:
same side interior
Step-by-step explanation:
c and e are on the same side of the transversal and on the inside of the parallel lines, which makes c and e same side interior angles