Answer for the question No.17
Answer:
![x=28.11\ degree](https://tex.z-dn.net/?f=x%3D28.11%5C%20degree)
![m\angle\ ABC=28.11\ degree](https://tex.z-dn.net/?f=m%5Cangle%5C%20ABC%3D28.11%5C%20degree)
Step-by-step explanation:
Answer for the question No.17
Given:-
![\angle\ BAD=(5x+10)\ degree](https://tex.z-dn.net/?f=%5Cangle%5C%20BAD%3D%285x%2B10%29%5C%20degree)
![\angle\ ADC=(87)\ degree](https://tex.z-dn.net/?f=%5Cangle%5C%20ADC%3D%2887%29%5C%20degree)
![\angle\ DCB=(3x+10)\ degree](https://tex.z-dn.net/?f=%5Cangle%5C%20DCB%3D%283x%2B10%29%5C%20degree)
Let,![m\angle\ ABC=x](https://tex.z-dn.net/?f=m%5Cangle%5C%20ABC%3Dx)
In quadrilateral ABCD,
---(sum of angle of quadrilateral is 360 degree)
![\therefore\ (5x+10)+x+(3x+10)+87=360](https://tex.z-dn.net/?f=%5Ctherefore%5C%20%285x%2B10%29%2Bx%2B%283x%2B10%29%2B87%3D360)
![9x+107=360](https://tex.z-dn.net/?f=9x%2B107%3D360)
![9x=360-107](https://tex.z-dn.net/?f=9x%3D360-107)
![9x=253](https://tex.z-dn.net/?f=9x%3D253)
![x=\frac{253}{9}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B253%7D%7B9%7D)
![\therefore\ x=28.11\ degree](https://tex.z-dn.net/?f=%5Ctherefore%5C%20x%3D28.11%5C%20degree)
SInce x=![m\angle ABC](https://tex.z-dn.net/?f=m%5Cangle%20ABC)
![\therefore\ m\angle\ ABC=28.11\ degree](https://tex.z-dn.net/?f=%5Ctherefore%5C%20m%5Cangle%5C%20ABC%3D28.11%5C%20degree)
Answer:
76.8 words per minute
Step-by-step explanation:
Plug in the values of the ordered pairs into the equations.
41 = 5(8) + 1
41 = 40 + 1
41 = 41
So, A y = 5x + 1 is the answer.
Answer:
B because they are the same angle