The measure of smaller angle is: 22.5°
Step-by-step explanation:
When two parallel lines are intersected by a transversal, the pairs of interior angles formed on same side are supplementary angles
So,
The sum of given angles will be 180°
Writing mathematically
![2x-11 + 9x+6.75 = 180\\11x -11+6.75 = 180\\11x -4.25 = 180\\11x = 180 + 4.25\\11x = 184.25\\\frac{11x}{11} = \frac{184.25}{11}\\x = 16.75](https://tex.z-dn.net/?f=2x-11%20%2B%209x%2B6.75%20%3D%20180%5C%5C11x%20-11%2B6.75%20%3D%20180%5C%5C11x%20-4.25%20%3D%20180%5C%5C11x%20%3D%20180%20%2B%204.25%5C%5C11x%20%3D%20184.25%5C%5C%5Cfrac%7B11x%7D%7B11%7D%20%3D%20%5Cfrac%7B184.25%7D%7B11%7D%5C%5Cx%20%3D%2016.75)
Angle 1:
![2x-11\\= 2(16.75) -11\\=33.5-11\\= 22.5](https://tex.z-dn.net/?f=2x-11%5C%5C%3D%202%2816.75%29%20-11%5C%5C%3D33.5-11%5C%5C%3D%2022.5)
Angle 2:
![9x+6.75\\= 9(16.75) + 6.75\\= 150.75+6.75\\=157.5](https://tex.z-dn.net/?f=9x%2B6.75%5C%5C%3D%209%2816.75%29%20%2B%206.75%5C%5C%3D%20150.75%2B6.75%5C%5C%3D157.5)
Hence,
The measure of smaller angle is: 22.5°
Keywords: Interior angles, supplementary angles
Learn more about interior angles at:
#LearnwithBrainly
Answer:
15625
Step-by-step explanation:
25^3
The base is 25 and the power is 3
That means we multiply 25 together 3 times
= 25*25*25 =15625
Answer:
242 ft^2
Step-by-step explanation:
15 x 14 + 4 x 8 = 242 ft^2
(break down the polygon into two rectangles)
Answer:
C) AB = BC = CD = DA = 2√5
Step-by-step explanation:
Given
A(1, 4)
B(3, 0)
C(1, −4)
D(−1, 0)
We get the distance between point A and point B
AB = √((3-1)²+(0-4)²) = √20 = 2√5
BC = √((1-3)²+(-4-0)²) = √20 = 2√5
CD = √((-1-1)²+(0-(-4))²) = √20 = 2√5
DA = √((1-(-1))²+(4-0)²) = √20 = 2√5
C) AB = BC = CD = DA = 2√5
Answer:
If absolute values are always positive or zero there is no way they can be less than or equal to a negative number. ... In this case if the absolute value is positive or zero then it will always be greater than or equal to a negative number.