Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
1 answer:
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
![6y + 13y - 10 = 180](https://tex.z-dn.net/?f=6y%20%2B%2013y%20%20-%2010%20%3D%20180)
![19y - 10 = 180](https://tex.z-dn.net/?f=%2019y%20-%2010%20%3D%20180)
![19y = 180 + 10](https://tex.z-dn.net/?f=19y%20%3D%20180%20%20%2B%2010)
![19y = 190](https://tex.z-dn.net/?f=19y%20%3D%20190)
![y = \frac{190}{19}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B190%7D%7B19%7D%20)
![y = 10](https://tex.z-dn.net/?f=y%20%3D%2010)
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
![60 + 9x + 12 = 180](https://tex.z-dn.net/?f=60%20%2B%209x%20%2B%2012%20%3D%20180)
![9x + 72 = 180](https://tex.z-dn.net/?f=9x%20%2B%2072%20%3D%20180)
![9x = 180 - 72](https://tex.z-dn.net/?f=9x%20%3D%20180%20-%2072)
![9x = 108](https://tex.z-dn.net/?f=9x%20%3D%20108)
![x = \frac{108}{9}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B108%7D%7B9%7D%20)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
You might be interested in
Answer:
kk
Step-by-step explanation:
jy
Answer:
√3/4(√3)^2=3√3/4
Hope it helps
Answer:
3820.18cm³ i know it is right
Step-by-step explanation:
brainlest for me please
30 dollars equals the slope and 100 dollars equal y intercept
Answer: A
Step-by-step explanation: