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
100% is equal to the total earnings in a month which is $4000.So 33% is the rent so you say:
If 100%=4000
33%=?
[(33×4000)÷100]=$ 1320
Answer:
A
Step-by-step explanation:
Note that i² = - 1
Given
(7 - 5i)(2 + 3i) ← expand factors using FOIL
= 14 + 21i - 10i - 15i² ← collect like terms
= 14 + 11i + 15
= 29 + 11i → A
Answer:
negative 3 over 2 divided by 3 over negative 2.
explanation:
negative 9 over 6 simplified is:
3:2 as a ratio which is negative 3 over 2.