Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
![m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}](https://tex.z-dn.net/?f=%5Cimplies%5Chuge%5Cpurple%7B%5Cboxed%7B%20m%5Cangle%201%20%3D%2020%5Cdegree%7D%7D)
Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)
![\implies m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies m\angle 1 = 20\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%2020%5Cdegree)
Which sequence is arithmetic? 6, 12, 15, 21, ... 7, 14, 21, 36, ... 8, 16, 32, 64, ... 9, 18, 27, 36, ...
charle [14.2K]
9, 18, 27, 36 is a Arithmetic sequence and the sequence is 9
Answer:
open circle at 7; arrow points left
Step-by-step explanation:
To Solve:
4x - 10 < 18
+ 10 +10
4x < 28
/4 /4
x < 7 *only flip sign when multiply/divide by negative
< means the arrow will point left and that it will be an open circle
Answer:
x=63+86
Step-by-step explanation:
due to circle theory